move pi-mono into companion-cloud as apps/companion-os

- Copy all pi-mono source into apps/companion-os/
- Update Dockerfile to COPY pre-built binary instead of downloading from GitHub Releases
- Update deploy-staging.yml to build pi from source (bun compile) before Docker build
- Add apps/companion-os/** to path triggers
- No more cross-repo dispatch needed

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

packages/web-ui/example/tsconfig.json

@@ -0,0 +1,23 @@
+{
+  "compilerOptions": {
+    "target": "ES2022",
+    "module": "ES2022",
+    "lib": ["ES2022", "DOM", "DOM.Iterable"],
+    "moduleResolution": "bundler",
+    "paths": {
+      "*": ["./*"],
+      "@mariozechner/pi-agent-core": ["../../agent/dist/index.d.ts"],
+      "@mariozechner/pi-ai": ["../../ai/dist/index.d.ts"],
+      "@mariozechner/pi-tui": ["../../tui/dist/index.d.ts"],
+      "@mariozechner/pi-web-ui": ["../dist/index.d.ts"]
+    },
+    "strict": true,
+    "skipLibCheck": true,
+    "esModuleInterop": true,
+    "allowSyntheticDefaultImports": true,
+    "experimentalDecorators": true,
+    "useDefineForClassFields": false
+  },
+  "include": ["src/**/*"],
+  "exclude": ["../src"]
+}