refactor(extension-*,stage-tamagotchi,stage-ui,server-*): rename to extension, improve DX (#1892)

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Co-authored-by: autofix-ci[bot] <114827586+autofix-ci[bot]@users.noreply.github.com>
Co-authored-by-agent: Codex

packages/plugin-sdk/package.json

@@ -43,10 +43,8 @@
     "@moeru/eventa": "catalog:",
     "@moeru/std": "catalog:",
     "@proj-airi/plugin-protocol": "workspace:*",
-    "@proj-airi/server-shared": "workspace:*",
     "nanoid": "catalog:",
-    "valibot": "catalog:",
-    "xstate": "catalog:"
+    "valibot": "catalog:"
   },
   "devDependencies": {
     "es-toolkit": "catalog:"