feat: handle tools/resources/prompts list_changed notifications

[Christian-Sidak]

Summary

• Add handlers for notifications/tools/list_changed, notifications/resources/list_changed, and notifications/prompts/list_changed in the onNotification callback
• When a server sends these notifications, the inspector resets pagination cursors and re-fetches the corresponding lists
• Enables dynamic tool/resource/prompt registration use cases (e.g., gateway MCP servers that load/unload capabilities at runtime)

Changes

In client/src/App.tsx, added three conditional blocks to the existing onNotification callback, following the same pattern as the existing notifications/tasks/list_changed handler:

• notifications/tools/list_changed -- resets tool cursor, clears tools, re-fetches via listTools()
• notifications/resources/list_changed -- resets resource and template cursors, clears both lists, re-fetches via listResources() and listResourceTemplates()
• notifications/prompts/list_changed -- resets prompt cursor, clears prompts, re-fetches via listPrompts()

The notification schemas (ToolListChangedNotificationSchema, ResourceListChangedNotificationSchema, PromptListChangedNotificationSchema) are already imported and registered on the MCP client in useConnection.ts -- this PR adds the missing response logic.

Testing

1. Connect the inspector to an MCP server that supports dynamic tool registration
2. Add/remove a tool on the server side
3. The server sends a notifications/tools/list_changed notification
4. Verify the Tools tab automatically refreshes to show the updated tool list
5. Same flow applies for resources and prompts

Build passes (npm run build succeeds).

Fixes #832