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/ResponseCookies.tsx

@@ -130,7 +130,7 @@ export function ResponseCookies({ response }: Props) {
         ) : (
           <KeyValueRows>
             {sentCookies.map((cookie, i) => (
-              // biome-ignore lint/suspicious/noArrayIndexKey: none
+              // oxlint-disable-next-line react/no-array-index-key
               <KeyValueRow labelColor="primary" key={i} label={cookie.name}>
                 {cookie.value}
               </KeyValueRow>
@@ -153,7 +153,7 @@ export function ResponseCookies({ response }: Props) {
         ) : (
           <div className="flex flex-col gap-4">
             {receivedCookies.map((cookie, i) => (
-              // biome-ignore lint/suspicious/noArrayIndexKey: none
+              // oxlint-disable-next-line react/no-array-index-key
               <div key={i} className="flex flex-col gap-1">
                 <div className="flex items-center gap-2 my-1">
                   <span