chore: Replace prettier with oxfmt (#8177)

Configure oxfmt ignorePatterns to exclude non-JS/TS files (md, json,
css, yaml, etc.) to match previous Prettier behavior.

┆Issue is synchronized with this [Notion
page](https://www.notion.so/PR-8177-chore-configure-oxfmt-to-format-only-JS-TS-Vue-files-2ee6d73d3650815080f3cc8a4a932109)
by [Unito](https://www.unito.io)

---------

Co-authored-by: Amp <amp@ampcode.com>

package.json

@@ -22,10 +22,8 @@
     "dev:no-vue": "cross-env DISABLE_VUE_PLUGINS=true nx serve",
     "dev": "nx serve",
     "devtools:pycheck": "python3 -m compileall -q tools/devtools",
-    "format:check:no-cache": "prettier --check './**/*.{js,ts,tsx,vue,mts}'",
-    "format:check": "prettier --check './**/*.{js,ts,tsx,vue,mts}' --cache",
-    "format:no-cache": "prettier --write './**/*.{js,ts,tsx,vue,mts}' --list-different",
-    "format": "prettier --write './**/*.{js,ts,tsx,vue,mts}' --cache --list-different",
+    "format:check": "oxfmt --check",
+    "format": "oxfmt --write",
     "json-schema": "tsx scripts/generate-json-schema.ts",
     "knip:no-cache": "knip",
     "knip": "knip --cache",
@@ -63,14 +61,12 @@
     "@nx/vite": "catalog:",
     "@pinia/testing": "catalog:",
     "@playwright/test": "catalog:",
-    "@prettier/plugin-oxc": "catalog:",
     "@sentry/vite-plugin": "catalog:",
     "@storybook/addon-docs": "catalog:",
     "@storybook/addon-mcp": "catalog:",
     "@storybook/vue3": "catalog:",
     "@storybook/vue3-vite": "catalog:",
     "@tailwindcss/vite": "catalog:",
-    "@trivago/prettier-plugin-sort-imports": "catalog:",
     "@types/fs-extra": "catalog:",
     "@types/jsdom": "catalog:",
     "@types/node": "catalog:",
@@ -101,11 +97,11 @@
     "markdown-table": "catalog:",
     "mixpanel-browser": "catalog:",
     "nx": "catalog:",
+    "oxfmt": "catalog:",
     "oxlint": "catalog:",
     "oxlint-tsgolint": "catalog:",
     "picocolors": "catalog:",
     "postcss-html": "catalog:",
-    "prettier": "catalog:",
     "pretty-bytes": "catalog:",
     "rollup-plugin-visualizer": "catalog:",
     "storybook": "catalog:",