Improve AGENTS.md instructions and guidelines for code style

[bitnimble]

@intern

Based on the review comments in #44, as well as the manual changes that @bitnimble made to the branch compared to the initial code generated by Claude, come up with some recommendations and changes to AGENTS.md that would reduce the back-and-forth or eliminate the need for manual fixes/improvements.

[banana-claude]

Claude finished @bitnimble's task in 3m 31s —— View job • claude/issue-55-20260120-0054 • [Create PR ➔](https://github.com/bitnimble/paradb/compare/main...claude/issue-55-20260120-0054?quick_pull=1&title=Issue%20%2355%3A%20Changes%20from%20Claude&body=This%20PR%20addresses%20issue%20%2355%0A%0AGenerated%20with%20%5BClaude%20Code%5D(https%3A%2F%2Fclaude.ai%2Fcode)

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Summary

Analyzed PR #44 commits and identified patterns that needed manual correction after Claude's initial implementation. Added new sections to AGENTS.md covering:

New guidelines added:

Section	Guidelines
React	Use mobx-react-lite, prefer simple observer patterns with useState + direct store access, inline components in page.tsx
MobX	Use action.bound over runInAction(), proper makeObservable generics for private methods
Dependency injection	Call createClient() at usage site rather than passing via constructor/context
Routing	Prefer nested routes (/password/reset) over hyphens (/reset-password)
Forms/UX	Include password confirmation fields, use required={true}, redirect appropriately after password update
TypeScript	Don't export internal types that are only used within a file

Todo List

• Fetch and analyze PR feat: add password reset flow #44 review comments
• Compare Claude's initial code vs manual fixes by @bitnimble
• Identify patterns and issues that could be addressed in AGENTS.md
• Draft recommendations for AGENTS.md improvements
• Implement changes to AGENTS.md
• Create PR

PR: #56