chore(deps): update all non-major dependencies

Author: renovate[bot]

apps/docs/package.json

@@ -19,18 +19,18 @@
   },
   "dependencies": {
     "@ai-sdk/mcp": "^0.0.12",
-    "@ai-sdk/vue": "3.0.0-beta.155",
+    "@ai-sdk/vue": "3.0.0-beta.156",
     "@nuxtjs/mcp-toolkit": "workspace:*",
     "@rollup/plugin-yaml": "^4.1.2",
     "@vercel/analytics": "^1.6.1",
     "@vercel/speed-insights": "^1.3.1",
-    "ai": "6.0.0-beta.155",
+    "ai": "6.0.0-beta.156",
     "better-sqlite3": "^12.5.0",
     "docus": "latest",
     "motion-v": "^1.7.4",
     "nuxt": "^4.2.2",
-    "nuxt-studio": "1.0.0-alpha.4",
-    "shaders": "^2.2.19",
+    "nuxt-studio": "1.0.0-beta.0",
+    "shaders": "^2.2.22",
     "shiki-stream": "^0.1.3"
   },
   "devDependencies": {