docs: reorder agent skills section and fix product name casing

Author: debidong

README.md

@@ -40,6 +40,32 @@ Download the latest release for your platform from [GitHub Releases](https://git
 | `FLASHDUTY_VERSION` | Install a specific version (e.g. `v0.1.2`) | latest |
 | `FLASHDUTY_INSTALL_DIR` | Custom install directory | `/usr/local/bin` (shell), `~\.flashduty\bin` (PowerShell) |
 
+## Agent Skills
+
+Flashduty CLI ships with 9 agent skills that teach AI coding agents how to operate Flashduty from your terminal. Compatible with 41+ agents including Claude Code, Cursor, GitHub Copilot, Codex, Gemini CLI, Windsurf, and more.
+
+```bash
+npx skills add flashcatcloud/flashduty-cli -y -g
+```
+
+The installer auto-detects which agents you have and installs skills to all of them.
+
+### Available Skills
+
+| Skill | Scope |
+|-------|-------|
+| `flashduty-shared` | Foundation: authentication, 3-layer model, global flags, safety rules |
+| `flashduty-incident` | Incident lifecycle: triage, investigate, resolve, merge, snooze, reassign |
+| `flashduty-alert` | Alert and alert event investigation: drill down, trace, merge |
+| `flashduty-change` | Change event tracking and deployment frequency trends |
+| `flashduty-oncall` | On-call schedule queries: who is on call, shift details |
+| `flashduty-channel` | Channel and escalation rule lookups |
+| `flashduty-insight` | Analytics: MTTA/MTTR, noise reduction, notification trends |
+| `flashduty-admin` | Team/member lookups and audit log search |
+| `flashduty-template` | Notification template validation and preview |
+
+---
+
 ## Quick Start
 
 ### 1. Authenticate
@@ -242,32 +268,6 @@ flashduty incident list --json | jq '.[].title'
 
 ---
 
-## Agent Skills
-
-Flashduty CLI ships with 9 [Claude Code agent skills](https://docs.anthropic.com/en/docs/claude-code) that teach AI agents how to operate Flashduty through the CLI. Install them globally to enable AI-assisted incident management:
-
-```bash
-npx skills add flashcatcloud/flashduty-cli -y -g
-```
-
-After installation, Claude Code will automatically discover and invoke the appropriate skill based on your requests.
-
-### Available Skills
-
-| Skill | Scope |
-|-------|-------|
-| `flashduty-shared` | Foundation: authentication, 3-layer model, global flags, safety rules |
-| `flashduty-incident` | Incident lifecycle: triage, investigate, resolve, merge, snooze, reassign |
-| `flashduty-alert` | Alert and alert event investigation: drill down, trace, merge |
-| `flashduty-change` | Change event tracking and deployment frequency trends |
-| `flashduty-oncall` | On-call schedule queries: who is on call, shift details |
-| `flashduty-channel` | Channel and escalation rule lookups |
-| `flashduty-insight` | Analytics: MTTA/MTTR, noise reduction, notification trends |
-| `flashduty-admin` | Team/member lookups and audit log search |
-| `flashduty-template` | Notification template validation and preview |
-
----
-
 ## Development
 
 ### Prerequisites

README_zh.md

@@ -40,6 +40,32 @@ go install github.com/flashcatcloud/flashduty-cli/cmd/flashduty@latest
 | `FLASHDUTY_VERSION` | 安装指定版本（如 `v0.1.2`） | 最新版 |
 | `FLASHDUTY_INSTALL_DIR` | 自定义安装目录 | `/usr/local/bin`（Shell）、`~\.flashduty\bin`（PowerShell） |
 
+## Agent Skills（AI 代理技能）
+
+Flashduty CLI 内置 9 个代理技能，让 AI 编程代理能够通过 CLI 操作 Flashduty 平台。兼容 41+ 编程代理，包括 Claude Code、Cursor、GitHub Copilot、Codex、Gemini CLI、Windsurf 等。
+
+```bash
+npx skills add flashcatcloud/flashduty-cli -y -g
+```
+
+安装器会自动检测已安装的代理并为其安装技能。
+
+### 可用技能
+
+| 技能 | 范围 |
+|------|------|
+| `flashduty-shared` | 基础：认证、三层降噪模型、全局参数、安全规则 |
+| `flashduty-incident` | 故障生命周期：分诊、调查、解决、合并、暂停、转派 |
+| `flashduty-alert` | 告警与告警事件调查：下钻、追踪、合并 |
+| `flashduty-change` | 变更事件追踪与部署频率趋势 |
+| `flashduty-oncall` | 值班查询：当前值班人、排班详情 |
+| `flashduty-channel` | 协作空间与升级规则查询 |
+| `flashduty-insight` | 分析：MTTA/MTTR、降噪率、通知趋势 |
+| `flashduty-admin` | 团队/成员查询与审计日志搜索 |
+| `flashduty-template` | 通知模板验证与预览 |
+
+---
+
 ## 快速开始
 
 ### 1. 认证
@@ -242,32 +268,6 @@ flashduty incident list --json | jq '.[].title'
 
 ---
 
-## Agent Skills（AI 代理技能）
-
-Flashduty CLI 内置 9 个 [Claude Code 代理技能](https://docs.anthropic.com/en/docs/claude-code)，让 AI 代理能够通过 CLI 操作 Flashduty 平台。全局安装技能：
-
-```bash
-npx skills add flashcatcloud/flashduty-cli -y -g
-```
-
-安装后，Claude Code 会根据你的请求自动发现并调用对应的技能。
-
-### 可用技能
-
-| 技能 | 范围 |
-|------|------|
-| `flashduty-shared` | 基础：认证、三层降噪模型、全局参数、安全规则 |
-| `flashduty-incident` | 故障生命周期：分诊、调查、解决、合并、暂停、转派 |
-| `flashduty-alert` | 告警与告警事件调查：下钻、追踪、合并 |
-| `flashduty-change` | 变更事件追踪与部署频率趋势 |
-| `flashduty-oncall` | 值班查询：当前值班人、排班详情 |
-| `flashduty-channel` | 协作空间与升级规则查询 |
-| `flashduty-insight` | 分析：MTTA/MTTR、降噪率、通知趋势 |
-| `flashduty-admin` | 团队/成员查询与审计日志搜索 |
-| `flashduty-template` | 通知模板验证与预览 |
-
----
-
 ## 开发
 
 ### 前置条件