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/package.json

@@ -0,0 +1,25 @@
+{
+  "name": "pi-web-ui-example",
+  "version": "1.44.2",
+  "private": true,
+  "type": "module",
+  "scripts": {
+    "dev": "vite",
+    "build": "vite build",
+    "preview": "vite preview",
+    "check": "tsgo --noEmit",
+    "clean": "shx rm -rf dist"
+  },
+  "dependencies": {
+    "@mariozechner/mini-lit": "^0.2.0",
+    "@mariozechner/pi-ai": "file:../../ai",
+    "@mariozechner/pi-web-ui": "file:../",
+    "@tailwindcss/vite": "^4.1.17",
+    "lit": "^3.3.1",
+    "lucide": "^0.544.0"
+  },
+  "devDependencies": {
+    "typescript": "^5.7.3",
+    "vite": "^7.1.6"
+  }
+}