diff --git a/.tools/package-lock.json b/.tools/package-lock.json
index 158cce8e..80a35a52 100644
--- a/.tools/package-lock.json
+++ b/.tools/package-lock.json
@@ -5,7 +5,7 @@
   "packages": {
     "": {
       "dependencies": {
-        "@mermaid-js/mermaid-cli": "^11.12.0",
+        "@mermaid-js/mermaid-cli": "^11.15.0",
         "markdownlint-cli2": "^0.22.1",
         "prettier": "3.8.3"
       }
@@ -66,41 +66,10 @@
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       "license": "MIT"
     },
-    "node_modules/@chevrotain/cst-dts-gen": {
-      "version": "12.0.0",
-      "resolved": "https://registry.npmjs.org/@chevrotain/cst-dts-gen/-/cst-dts-gen-12.0.0.tgz",
-      "integrity": "sha512-fSL4KXjTl7cDgf0B5Rip9Q05BOrYvkJV/RrBTE/bKDN096E4hN/ySpcBK5B24T76dlQ2i32Zc3PAE27jFnFrKg==",
-      "license": "Apache-2.0",
-      "dependencies": {
-        "@chevrotain/gast": "12.0.0",
-        "@chevrotain/types": "12.0.0"
-      }
-    },
-    "node_modules/@chevrotain/gast": {
-      "version": "12.0.0",
-      "resolved": "https://registry.npmjs.org/@chevrotain/gast/-/gast-12.0.0.tgz",
-      "integrity": "sha512-1ne/m3XsIT8aEdrvT33so0GUC+wkctpUPK6zU9IlOyJLUbR0rg4G7ZiApiJbggpgPir9ERy3FRjT6T7lpgetnQ==",
-      "license": "Apache-2.0",
-      "dependencies": {
-        "@chevrotain/types": "12.0.0"
-      }
-    },
-    "node_modules/@chevrotain/regexp-to-ast": {
-      "version": "12.0.0",
-      "resolved": "https://registry.npmjs.org/@chevrotain/regexp-to-ast/-/regexp-to-ast-12.0.0.tgz",
-      "integrity": "sha512-p+EW9MaJwgaHguhoqwOtx/FwuGr+DnNn857sXWOi/mClXIkPGl3rn7hGNWvo31HA3vyeQxjqe+H36yZJwYU8cA==",
-      "license": "Apache-2.0"
-    },
     "node_modules/@chevrotain/types": {
-      "version": "12.0.0",
-      "resolved": "https://registry.npmjs.org/@chevrotain/types/-/types-12.0.0.tgz",
-      "integrity": "sha512-S+04vjFQKeuYw0/eW3U52LkAHQsB1ASxsPGsLPUyQgrZ2iNNibQrsidruDzjEX2JYfespXMG0eZmXlhA6z7nWA==",
-      "license": "Apache-2.0"
-    },
-    "node_modules/@chevrotain/utils": {
-      "version": "12.0.0",
-      "resolved": "https://registry.npmjs.org/@chevrotain/utils/-/utils-12.0.0.tgz",
-      "integrity": "sha512-lB59uJoaGIfOOL9knQqQRfhl9g7x8/wqFkp13zTdkRu1huG9kg6IJs1O8hqj9rs6h7orGxHJUKb+mX3rPbWGhA==",
+      "version": "11.1.2",
+      "resolved": "https://registry.npmjs.org/@chevrotain/types/-/types-11.1.2.tgz",
+      "integrity": "sha512-U+HFai5+zmJCkK86QsaJtoITlboZHBqrVketcO2ROv865xfCMSFpELQoz1GkX5GzME8pTa+3kbKrZHQtI0gdbw==",
       "license": "Apache-2.0"
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     "node_modules/@floating-ui/core": {
@@ -156,6 +125,15 @@
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       "license": "MIT"
     },
+    "node_modules/@fortawesome/fontawesome-free": {
+      "version": "7.2.0",
+      "resolved": "https://registry.npmjs.org/@fortawesome/fontawesome-free/-/fontawesome-free-7.2.0.tgz",
+      "integrity": "sha512-3DguDv/oUE+7vjMeTSOjCSG+KeawgVQOHrKRnvUuqYh1mfArrh7s+s8hXW3e4RerBA1+Wh+hBqf8sJNpqNrBWg==",
+      "license": "(CC-BY-4.0 AND OFL-1.1 AND MIT)",
+      "engines": {
+        "node": ">=6"
+      }
+    },
     "node_modules/@headlessui/react": {
       "version": "2.2.7",
       "resolved": "https://registry.npmjs.org/@headlessui/react/-/react-2.2.7.tgz",
@@ -255,17 +233,47 @@
         "@jridgewell/sourcemap-codec": "^1.4.14"
       }
     },
+    "node_modules/@mermaid-js/layout-elk": {
+      "version": "0.2.1",
+      "resolved": "https://registry.npmjs.org/@mermaid-js/layout-elk/-/layout-elk-0.2.1.tgz",
+      "integrity": "sha512-MX9jwhMyd5zDcFsYcl3duDUkKhjVRUCGEQrdCeNV5hCIR6+3FuDDbRbFmvVbAu15K1+juzsYGG+K8MDvCY1Amg==",
+      "license": "MIT",
+      "dependencies": {
+        "d3": "^7.9.0",
+        "elkjs": "^0.9.3"
+      },
+      "peerDependencies": {
+        "mermaid": "^11.0.2"
+      }
+    },
+    "node_modules/@mermaid-js/layout-tidy-tree": {
+      "version": "0.2.2",
+      "resolved": "https://registry.npmjs.org/@mermaid-js/layout-tidy-tree/-/layout-tidy-tree-0.2.2.tgz",
+      "integrity": "sha512-8RmjDXjKJBxqTS1mICStm8zWRM45fSzs0SOrkp28+KsOGS2YEMFMVTwwRU8CsC6M1L+pDYZVjf1m9AC1c9Wndg==",
+      "license": "MIT",
+      "optional": true,
+      "dependencies": {
+        "d3": "^7.9.0"
+      },
+      "peerDependencies": {
+        "mermaid": "^11.0.2"
+      }
+    },
     "node_modules/@mermaid-js/mermaid-cli": {
-      "version": "11.12.0",
-      "resolved": "https://registry.npmjs.org/@mermaid-js/mermaid-cli/-/mermaid-cli-11.12.0.tgz",
-      "integrity": "sha512-a0swOS6PByXKi0dZnLQQIhbtUEu7ubc6bojmIqXqvUPq7mIJukCNEvVBTv6IAbuEWqB3Ti8QntupoGdz3ej+kg==",
+      "version": "11.15.0",
+      "resolved": "https://registry.npmjs.org/@mermaid-js/mermaid-cli/-/mermaid-cli-11.15.0.tgz",
+      "integrity": "sha512-rmz9ELKtmKQvRcYJGI2e509FK9yCBvmEVfHeRSYkleGqo6qqh8LFooxRPCqq04uVx3JHMp9g/vmM85gi/QFFlQ==",
       "license": "MIT",
       "dependencies": {
+        "@fortawesome/fontawesome-free": "^6.0.0 || ^7.0.1",
+        "@mermaid-js/layout-elk": "^0.1.5 || ^0.2.0",
         "@mermaid-js/mermaid-zenuml": "^0.2.0",
         "chalk": "^5.0.1",
-        "commander": "^14.0.0",
+        "commander": "^13.1.0",
         "import-meta-resolve": "^4.1.0",
-        "mermaid": "^11.0.2"
+        "katex": "^0.16.25",
+        "mermaid": "^11.14.0",
+        "p-limit": "^6.2.0"
       },
       "bin": {
         "mmdc": "src/cli.js"
@@ -273,8 +281,11 @@
       "engines": {
         "node": "^18.19 || >=20.0"
       },
+      "optionalDependencies": {
+        "@mermaid-js/layout-tidy-tree": "^0.2.1"
+      },
       "peerDependencies": {
-        "puppeteer": "^23"
+        "puppeteer": "^23 || ^24"
       }
     },
     "node_modules/@mermaid-js/mermaid-zenuml": {
@@ -290,12 +301,12 @@
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     "node_modules/@mermaid-js/parser": {
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-      "resolved": "https://registry.npmjs.org/@mermaid-js/parser/-/parser-1.0.0.tgz",
-      "integrity": "sha512-vvK0Hi/VWndxoh03Mmz6wa1KDriSPjS2XMZL/1l19HFwygiObEEoEwSDxOqyLzzAI6J2PU3261JjTMTO7x+BPw==",
+      "version": "1.1.1",
+      "resolved": "https://registry.npmjs.org/@mermaid-js/parser/-/parser-1.1.1.tgz",
+      "integrity": "sha512-VuHdsYMK1bT6X2JbcAaWAhugTRvRBRyuZgd+c22swUeI9g/ntaxF7CY7dYarhZovofCbUNO0G7JesfmNtjYOCw==",
       "license": "MIT",
       "dependencies": {
-        "langium": "^4.0.0"
+        "@chevrotain/types": "~11.1.1"
       }
     },
     "node_modules/@nodelib/fs.scandir": {
@@ -823,6 +834,16 @@
         "@types/node": "*"
       }
     },
+    "node_modules/@upsetjs/venn.js": {
+      "version": "2.0.0",
+      "resolved": "https://registry.npmjs.org/@upsetjs/venn.js/-/venn.js-2.0.0.tgz",
+      "integrity": "sha512-WbBhLrooyePuQ1VZxrJjtLvTc4NVfpOyKx0sKqioq9bX1C1m7Jgykkn8gLrtwumBioXIqam8DLxp88Adbue6Hw==",
+      "license": "MIT",
+      "optionalDependencies": {
+        "d3-selection": "^3.0.0",
+        "d3-transition": "^3.0.1"
+      }
+    },
     "node_modules/@zenuml/core": {
       "version": "3.36.0",
       "resolved": "https://registry.npmjs.org/@zenuml/core/-/core-3.36.0.tgz",
@@ -1217,34 +1238,6 @@
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       }
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-    "node_modules/chevrotain": {
-      "version": "12.0.0",
-      "resolved": "https://registry.npmjs.org/chevrotain/-/chevrotain-12.0.0.tgz",
-      "integrity": "sha512-csJvb+6kEiQaqo1woTdSAuOWdN0WTLIydkKrBnS+V5gZz0oqBrp4kQ35519QgK6TpBThiG3V1vNSHlIkv4AglQ==",
-      "license": "Apache-2.0",
-      "dependencies": {
-        "@chevrotain/cst-dts-gen": "12.0.0",
-        "@chevrotain/gast": "12.0.0",
-        "@chevrotain/regexp-to-ast": "12.0.0",
-        "@chevrotain/types": "12.0.0",
-        "@chevrotain/utils": "12.0.0"
-      },
-      "engines": {
-        "node": ">=22.0.0"
-      }
-    },
-    "node_modules/chevrotain-allstar": {
-      "version": "0.4.1",
-      "resolved": "https://registry.npmjs.org/chevrotain-allstar/-/chevrotain-allstar-0.4.1.tgz",
-      "integrity": "sha512-PvVJm3oGqrveUVW2Vt/eZGeiAIsJszYweUcYwcskg9e+IubNYKKD+rHHem7A6XVO22eDAL+inxNIGAzZ/VIWlA==",
-      "license": "MIT",
-      "dependencies": {
-        "lodash-es": "^4.17.21"
-      },
-      "peerDependencies": {
-        "chevrotain": "^12.0.0"
-      }
-    },
     "node_modules/chokidar": {
       "version": "3.6.0",
       "resolved": "https://registry.npmjs.org/chokidar/-/chokidar-3.6.0.tgz",
@@ -1452,12 +1445,12 @@
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     "node_modules/commander": {
-      "version": "14.0.0",
-      "resolved": "https://registry.npmjs.org/commander/-/commander-14.0.0.tgz",
-      "integrity": "sha512-2uM9rYjPvyq39NwLRqaiLtWHyDC1FvryJDa2ATTVims5YAS4PupsEQsDvP14FqhFr0P49CYDugi59xaxJlTXRA==",
+      "version": "13.1.0",
+      "resolved": "https://registry.npmjs.org/commander/-/commander-13.1.0.tgz",
+      "integrity": "sha512-/rFeCpNJQbhSZjGVwO9RFV3xPqbnERS8MmIQzCtD/zl6gpJuV/bMLuN92oG3F7d8oDEHHRrujSXNUr8fpjntKw==",
       "license": "MIT",
       "engines": {
-        "node": ">=20"
+        "node": ">=18"
       }
     },
     "node_modules/confbox": {
@@ -2013,9 +2006,9 @@
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     "node_modules/dagre-d3-es": {
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-      "resolved": "https://registry.npmjs.org/dagre-d3-es/-/dagre-d3-es-7.0.13.tgz",
-      "integrity": "sha512-efEhnxpSuwpYOKRm/L5KbqoZmNNukHa/Flty4Wp62JRvgH2ojwVgPgdYyr4twpieZnyRDdIH7PY2mopX26+j2Q==",
+      "version": "7.0.14",
+      "resolved": "https://registry.npmjs.org/dagre-d3-es/-/dagre-d3-es-7.0.14.tgz",
+      "integrity": "sha512-P4rFMVq9ESWqmOgK+dlXvOtLwYg0i7u0HBGJER0LZDJT2VHIPAMZ/riPxqJceWMStH5+E61QxFra9kIS3AqdMg==",
       "license": "MIT",
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@@ -2033,9 +2026,9 @@
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-      "resolved": "https://registry.npmjs.org/dayjs/-/dayjs-1.11.18.tgz",
-      "integrity": "sha512-zFBQ7WFRvVRhKcWoUh+ZA1g2HVgUbsZm9sbddh8EC5iv93sui8DVVz1Npvz+r6meo9VKfa8NyLWBsQK1VvIKPA==",
+      "version": "1.11.20",
+      "resolved": "https://registry.npmjs.org/dayjs/-/dayjs-1.11.20.tgz",
+      "integrity": "sha512-YbwwqR/uYpeoP4pu043q+LTDLFBLApUP6VxRihdfNTqu4ubqMlGDLd6ErXhEgsyvY0K6nCs7nggYumAN+9uEuQ==",
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     },
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@@ -2142,6 +2135,12 @@
         "@types/trusted-types": "^2.0.7"
       }
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+    "node_modules/elkjs": {
+      "version": "0.9.3",
+      "resolved": "https://registry.npmjs.org/elkjs/-/elkjs-0.9.3.tgz",
+      "integrity": "sha512-f/ZeWvW/BCXbhGEf1Ujp29EASo/lk1FDnETgNKwJrsVvGZhUWCZyg3xLJjAsxfOmt8KjswHmI5EwCQcPMpOYhQ==",
+      "license": "EPL-2.0"
+    },
     "node_modules/end-of-stream": {
       "version": "1.4.5",
       "resolved": "https://registry.npmjs.org/end-of-stream/-/end-of-stream-1.4.5.tgz",
@@ -2184,6 +2183,16 @@
         "is-arrayish": "^0.2.1"
       }
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+    "node_modules/es-toolkit": {
+      "version": "1.46.1",
+      "resolved": "https://registry.npmjs.org/es-toolkit/-/es-toolkit-1.46.1.tgz",
+      "integrity": "sha512-5eNtXOs3tbfxXOj04tjjseeWkRWaoCjdEI+96DgwzZoe6c9juL49pXlzAFTI72aWC9Y8p7168g6XIKjh7k6pyQ==",
+      "license": "MIT",
+      "workspaces": [
+        "docs",
+        "benchmarks"
+      ]
+    },
     "node_modules/escalade": {
       "version": "3.2.0",
       "resolved": "https://registry.npmjs.org/escalade/-/escalade-3.2.0.tgz",
@@ -2840,9 +2849,9 @@
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-      "resolved": "https://registry.npmjs.org/katex/-/katex-0.16.22.tgz",
-      "integrity": "sha512-XCHRdUw4lf3SKBaJe4EvgqIuWwkPSo9XoeO8GjQW94Bp7TWv9hNhzZjZ+OH9yf1UmLygb7DIT5GSFQiyt16zYg==",
+      "version": "0.16.47",
+      "resolved": "https://registry.npmjs.org/katex/-/katex-0.16.47.tgz",
+      "integrity": "sha512-Eeo8Ys1doU1z+x8AZsPpQu+p/QcZBI5PeOo7QGQdy2x2m0MU/hYagBbGOmXwr5KVbEfVuWv9LpnQWeehogurjg==",
       "funding": [
         "https://opencollective.com/katex",
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@@ -2869,24 +2878,6 @@
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-    "node_modules/langium": {
-      "version": "4.2.2",
-      "resolved": "https://registry.npmjs.org/langium/-/langium-4.2.2.tgz",
-      "integrity": "sha512-JUshTRAfHI4/MF9dH2WupvjSXyn8JBuUEWazB8ZVJUtXutT0doDlAv1XKbZ1Pb5sMexa8FF4CFBc0iiul7gbUQ==",
-      "license": "MIT",
-      "dependencies": {
-        "@chevrotain/regexp-to-ast": "~12.0.0",
-        "chevrotain": "~12.0.0",
-        "chevrotain-allstar": "~0.4.1",
-        "vscode-languageserver": "~9.0.1",
-        "vscode-languageserver-textdocument": "~1.0.11",
-        "vscode-uri": "~3.1.0"
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-      "engines": {
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-        "npm": ">=10.2.3"
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@@ -3058,37 +3049,38 @@
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-      "resolved": "https://registry.npmjs.org/mermaid/-/mermaid-11.12.3.tgz",
-      "integrity": "sha512-wN5ZSgJQIC+CHJut9xaKWsknLxaFBwCPwPkGTSUYrTiHORWvpT8RxGk849HPnpUAQ+/9BPRqYb80jTpearrHzQ==",
+      "version": "11.15.0",
+      "resolved": "https://registry.npmjs.org/mermaid/-/mermaid-11.15.0.tgz",
+      "integrity": "sha512-pTMbcf3rWdtLiYGpmoTjHEpeY8seiy6sR+9nD7LOs8KfUbHE4lOUAprTRqRAcWSQ6MQpdX+YEsxShtGsINtPtw==",
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-        "@iconify/utils": "^3.0.1",
-        "@mermaid-js/parser": "^1.0.0",
+        "@iconify/utils": "^3.0.2",
+        "@mermaid-js/parser": "^1.1.1",
         "@types/d3": "^7.4.3",
-        "cytoscape": "^3.29.3",
+        "@upsetjs/venn.js": "^2.0.0",
+        "cytoscape": "^3.33.1",
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         "cytoscape-fcose": "^2.2.0",
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-        "dayjs": "^1.11.18",
-        "dompurify": "^3.2.5",
-        "katex": "^0.16.22",
+        "dagre-d3-es": "7.0.14",
+        "dayjs": "^1.11.19",
+        "dompurify": "^3.3.1",
+        "es-toolkit": "^1.45.1",
+        "katex": "^0.16.25",
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-        "lodash-es": "^4.17.23",
-        "marked": "^16.2.1",
+        "marked": "^16.3.0",
         "roughjs": "^4.6.6",
         "stylis": "^4.3.6",
         "ts-dedent": "^2.2.0",
-        "uuid": "^11.1.0"
+        "uuid": "^11.1.0 || ^12 || ^13 || ^14.0.0"
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     "node_modules/mermaid/node_modules/marked": {
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-      "resolved": "https://registry.npmjs.org/marked/-/marked-16.2.1.tgz",
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+      "version": "16.4.2",
+      "resolved": "https://registry.npmjs.org/marked/-/marked-16.4.2.tgz",
+      "integrity": "sha512-TI3V8YYWvkVf3KJe1dRkpnjs68JUPyEa5vjKrp1XEEJUAOaQc+Qj+L1qWbPd0SJuAdQkFU0h73sXXqwDYxsiDA==",
       "license": "MIT",
       "bin": {
         "marked": "bin/marked.js"
@@ -3731,6 +3723,21 @@
         "wrappy": "1"
       }
     },
+    "node_modules/p-limit": {
+      "version": "6.2.0",
+      "resolved": "https://registry.npmjs.org/p-limit/-/p-limit-6.2.0.tgz",
+      "integrity": "sha512-kuUqqHNUqoIWp/c467RI4X6mmyuojY5jGutNU0wVTmEOOfcuwLqyMVoAi9MKi2Ak+5i9+nhmrK4ufZE8069kHA==",
+      "license": "MIT",
+      "dependencies": {
+        "yocto-queue": "^1.1.1"
+      },
+      "engines": {
+        "node": ">=18"
+      },
+      "funding": {
+        "url": "https://github.com/sponsors/sindresorhus"
+      }
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     "node_modules/pac-proxy-agent": {
       "version": "7.2.0",
       "resolved": "https://registry.npmjs.org/pac-proxy-agent/-/pac-proxy-agent-7.2.0.tgz",
@@ -4995,55 +5002,6 @@
         "uuid": "dist/esm/bin/uuid"
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-    "node_modules/vscode-jsonrpc": {
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-      },
-      "bin": {
-        "installServerIntoExtension": "bin/installServerIntoExtension"
-      }
-    },
-    "node_modules/vscode-languageserver-protocol": {
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-        "vscode-languageserver-types": "3.17.5"
-      }
-    },
-    "node_modules/vscode-languageserver-textdocument": {
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-      "resolved": "https://registry.npmjs.org/vscode-languageserver-textdocument/-/vscode-languageserver-textdocument-1.0.12.tgz",
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-      "license": "MIT"
-    },
-    "node_modules/vscode-languageserver-types": {
-      "version": "3.17.5",
-      "resolved": "https://registry.npmjs.org/vscode-languageserver-types/-/vscode-languageserver-types-3.17.5.tgz",
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-      "license": "MIT"
-    },
-    "node_modules/vscode-uri": {
-      "version": "3.1.0",
-      "resolved": "https://registry.npmjs.org/vscode-uri/-/vscode-uri-3.1.0.tgz",
-      "integrity": "sha512-/BpdSx+yCQGnCvecbyXdxHDkuk55/G3xwnC0GqY4gmQ3j+A+g8kzzgB4Nk/SINjqn6+waqw3EgbVF2QKExkRxQ==",
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     "node_modules/wrappy": {
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       "resolved": "https://registry.npmjs.org/wrappy/-/wrappy-1.0.2.tgz",
@@ -5183,6 +5141,18 @@
         "fd-slicer": "~1.1.0"
       }
     },
+    "node_modules/yocto-queue": {
+      "version": "1.2.2",
+      "resolved": "https://registry.npmjs.org/yocto-queue/-/yocto-queue-1.2.2.tgz",
+      "integrity": "sha512-4LCcse/U2MHZ63HAJVE+v71o7yOdIe4cZ70Wpf8D/IyjDKYQLV5GD46B+hSTjJsvV5PztjvHoU580EftxjDZFQ==",
+      "license": "MIT",
+      "engines": {
+        "node": ">=12.20"
+      },
+      "funding": {
+        "url": "https://github.com/sponsors/sindresorhus"
+      }
+    },
     "node_modules/zod": {
       "version": "3.23.8",
       "resolved": "https://registry.npmjs.org/zod/-/zod-3.23.8.tgz",
diff --git a/.tools/package.json b/.tools/package.json
index f1c53849..238f7ecb 100644
--- a/.tools/package.json
+++ b/.tools/package.json
@@ -1,7 +1,7 @@
 {
   "type": "module",
   "dependencies": {
-    "@mermaid-js/mermaid-cli": "^11.12.0",
+    "@mermaid-js/mermaid-cli": "^11.15.0",
     "markdownlint-cli2": "^0.22.1",
     "prettier": "3.8.3"
   }