fix(types): clean type fixes across 92 files

Apply proper TypeScript type corrections without any unsafe casts:
- Fix unknown/never/{} types from decompilation
- Correct function signatures and parameter types
- Add missing type declarations and interfaces
- Fix Ink component prop types
- Update API client/provider type annotations

Test files with mock data casts are included as-is (acceptable pattern).

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

src/tools/WebSearchTool/__tests__/bingAdapter.test.ts

@@ -493,7 +493,7 @@ describe('BingSearchAdapter.search', () => {
     const adapter = await createAdapter()
     await adapter.search('hello world & special=chars', {})
 
-    const calledUrl = axiosGet.mock.calls[0][0] as string
+    const calledUrl = (axiosGet.mock.calls as string[][])[0][0]
     expect(calledUrl).toContain('q=hello%20world%20%26%20special%3Dchars')
   })
 })