Enable type-aware linting and replace biome-ignore with oxlint-disable

- Enable typeAware option and no-explicit-any (error) in vite.config.ts
- Ignore generated binding files from linting
- Convert all 96 biome-ignore comments to oxlint-disable equivalents
- Add suppression comments for 3 previously uncovered any usages

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

src-web/components/responseViewers/VideoViewer.tsx

@@ -22,6 +22,6 @@ export function VideoViewer({ bodyPath, data }: Props) {
     }
   }, [bodyPath, data]);
 
-  // biome-ignore lint/a11y/useMediaCaption: none
+  // oxlint-disable-next-line jsx-a11y/media-has-caption
   return <video className="w-full" controls src={src} />;
 }