refactor: replace Biome with oxlint + oxfmt

Migrate the entire monorepo from Biome 2.4.7 to oxlint 1.56.0 (linter)
and oxfmt 0.41.0 (formatter) for faster lint/format and broader rule
coverage.

- Add `.oxlintrc.json` with React, TypeScript, unicorn, import plugins
  and correctness/suspicious categories
- Add `.oxfmtrc.json` with 2-space indent, import sorting, and Tailwind
  class sorting (all 30+ custom className attributes migrated)
- Add `docs/.oxlintrc.json` and `docs/.oxfmtrc.json` with Next.js plugin
- Update all 12 workspace package.json scripts: `oxlint`, `oxfmt`,
  `oxfmt --check`
- Add `format:check` turbo task and CI step
- Update VS Code settings/extensions to use `oxc.oxc-vscode`
- Update CI path triggers from `biome.json` to new config files
- Remove all `biome-ignore` comments and fix shadowed variables
- Delete `biome.json` and `docs/biome.json`
- Reformat entire codebase with oxfmt

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

package.json

@@ -8,10 +8,10 @@
     ],
     "catalog": {
       "@better-auth/expo": "1.5.5",
-      "@orpc/client": "1.13.7",
-      "@orpc/contract": "1.13.7",
-      "@orpc/tanstack-query": "1.13.7",
-      "@tanstack/react-query": "5.90.21",
+      "@orpc/client": "1.13.8",
+      "@orpc/contract": "1.13.8",
+      "@orpc/tanstack-query": "1.13.8",
+      "@tanstack/react-query": "5.91.0",
       "@types/bun": "1.3.10",
       "@types/node": "25.5.0",
       "@types/react": "19.2.14",
@@ -27,13 +27,12 @@
       "react": "19.2.0",
       "react-dom": "19.2.0",
       "tailwind-merge": "3.5.0",
-      "tailwindcss": "4.2.1",
+      "tailwindcss": "4.2.2",
       "thumbhash": "0.1.1",
       "typescript": "5.9.3",
       "zod": "4.3.6"
     }
   },
-  "packageManager": "bun@1.3.10",
   "scripts": {
     "dev": "turbo run dev",
     "dev:web": "turbo run dev --filter=@sofa/web --filter=@sofa/server",
@@ -49,11 +48,13 @@
     "i18n:compile": "lingui compile --typescript"
   },
   "devDependencies": {
-    "@biomejs/biome": "2.4.7",
     "@lingui/cli": "catalog:",
     "@lingui/conf": "catalog:",
     "@lingui/format-po": "catalog:",
-    "turbo": "2.8.17",
+    "oxfmt": "0.41.0",
+    "oxlint": "1.56.0",
+    "turbo": "2.8.18",
     "typescript": "catalog:"
-  }
+  },
+  "packageManager": "bun@1.3.10"
 }