Initial commit: EGBE chatbot template

Stripped from vercel/chatbot (Apache 2.0):
- Dropped @vercel/* packages and AI Gateway
- Removed artifacts feature (code/text/sheet/image side panel)
- Switched AI provider to @ai-sdk/openai-compatible -> EGBE LiteLLM
- Replaced Vercel Blob upload with data URLs
- Dropped Redis resumable streams and rate limiter (in-memory now)
- Added Dockerfile (Next.js standalone) + entrypoint that runs migrations
- Wired DATABASE_URL, EGBE_AI_API_URL/KEY, NEXT_PUBLIC_BASE_URL for app-deploy.sh

.vscode/extensions.json

@@ -0,0 +1,3 @@
+{
+  "recommendations": ["biomejs.biome"]
+}

.vscode/settings.json

@@ -0,0 +1,53 @@
+{
+  "editor.defaultFormatter": "esbenp.prettier-vscode",
+  "[javascript]": {
+    "editor.defaultFormatter": "biomejs.biome"
+  },
+  "[typescript]": {
+    "editor.defaultFormatter": "biomejs.biome"
+  },
+  "[javascriptreact]": {
+    "editor.defaultFormatter": "biomejs.biome"
+  },
+  "[typescriptreact]": {
+    "editor.defaultFormatter": "biomejs.biome"
+  },
+  "[json]": {
+    "editor.defaultFormatter": "biomejs.biome"
+  },
+  "[jsonc]": {
+    "editor.defaultFormatter": "biomejs.biome"
+  },
+  "[css]": {
+    "editor.defaultFormatter": "biomejs.biome"
+  },
+  "[graphql]": {
+    "editor.defaultFormatter": "biomejs.biome"
+  },
+  "typescript.tsdk": "node_modules/typescript/lib",
+  "editor.formatOnSave": true,
+  "editor.formatOnPaste": true,
+  "emmet.showExpandedAbbreviation": "never",
+  "editor.codeActionsOnSave": {
+    "source.fixAll.biome": "explicit",
+    "source.organizeImports.biome": "explicit"
+  },
+  "[html]": {
+    "editor.defaultFormatter": "biomejs.biome"
+  },
+  "[vue]": {
+    "editor.defaultFormatter": "biomejs.biome"
+  },
+  "[svelte]": {
+    "editor.defaultFormatter": "biomejs.biome"
+  },
+  "[yaml]": {
+    "editor.defaultFormatter": "biomejs.biome"
+  },
+  "[markdown]": {
+    "editor.defaultFormatter": "biomejs.biome"
+  },
+  "[mdx]": {
+    "editor.defaultFormatter": "biomejs.biome"
+  }
+}