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/MultipartViewer.tsx

@@ -75,7 +75,7 @@ export function MultipartViewer({ data, boundary, idPrefix = 'multipart' }: Prop
     >
       {parts.map((part, i) => (
         <TabContent
-          // biome-ignore lint/suspicious/noArrayIndexKey: Nothing else to key on
+          // oxlint-disable-next-line react/no-array-index-key -- Nothing else to key on
           key={idPrefix + part.name + i}
           value={tabValue(part, i)}
           className="pl-3 !pt-0"