chore(deps): batch dependency updates, pnpm v11 migration, and fix integration cache (#5939)

apps/docs/package.json

@@ -32,25 +32,25 @@
     "@scalar/api-reference-react": "catalog:",
     "@signalwire/docusaurus-plugin-llms-txt": "^1.2.2",
     "@tabler/icons-react": "catalog:",
-    "autoprefixer": "^10.5.0",
+    "@tailwindcss/postcss": "^4.3.0",
     "clsx": "catalog:",
     "dayjs": "catalog:",
     "docusaurus-plugin-image-zoom": "^3.0.1",
     "leader-line-new": "^1.1.9",
-    "postcss": "^8.4.32",
+    "postcss": "^8.5.10",
     "posthog-docusaurus": "^2.0.5",
     "prism-react-renderer": "^2.4.1",
     "random-word-slugs": "^0.1.7",
     "react": "catalog:",
     "react-dom": "catalog:",
     "swiper": "^12.2.0",
-    "tailwindcss": "^3.4.19"
+    "tailwindcss": "^4.3.0"
   },
   "devDependencies": {
     "@docusaurus/module-type-aliases": "^3.10.1",
     "@docusaurus/tsconfig": "^3.10.1",
     "@docusaurus/types": "^3.10.1",
-    "@fec/remark-a11y-emoji": "^3.1.0",
+    "@fec/remark-a11y-emoji": "^4.0.2",
     "@tsconfig/docusaurus": "^2.0.9",
     "@types/react": "catalog:",
     "@types/react-dom": "catalog:",