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>

apps/native/package.json

@@ -9,8 +9,9 @@
     "android": "expo run:android",
     "ios": "expo run:ios",
     "prebuild": "expo prebuild",
-    "lint": "biome check",
-    "format": "biome format --write",
+    "lint": "oxlint",
+    "format": "oxfmt --config ../../.oxfmtrc.json",
+    "format:check": "oxfmt --check --config ../../.oxfmtrc.json",
     "check-types": "tsc --noEmit"
   },
   "dependencies": {
@@ -35,10 +36,10 @@
     "@sofa/api": "workspace:*",
     "@sofa/i18n": "workspace:*",
     "@tabler/icons-react-native": "3.40.0",
-    "@tanstack/query-async-storage-persister": "5.90.24",
+    "@tanstack/query-async-storage-persister": "5.90.25",
     "@tanstack/react-form": "1.28.5",
     "@tanstack/react-query": "catalog:",
-    "@tanstack/react-query-persist-client": "5.90.24",
+    "@tanstack/react-query-persist-client": "5.90.25",
     "better-auth": "catalog:",
     "burnt": "0.13.0",
     "expo": "55.0.7",
@@ -63,7 +64,7 @@
     "expo-system-ui": "55.0.10",
     "expo-tracking-transparency": "55.0.9",
     "expo-web-browser": "55.0.10",
-    "posthog-react-native": "4.37.3",
+    "posthog-react-native": "4.37.4",
     "react": "19.2.0",
     "react-dom": "19.2.0",
     "react-native": "0.83.2",