Hono + AI SDK example (#1167)

### Description

Hono + AI SDK example

### Type of Change

- [x] New Example
- [ ] Example updates (Bug fixes, new features, etc.)
- [ ] Other (changes to the codebase, but not to examples)

Author: anthonyshew

framework-boilerplates/hono/.gitignore

@@ -0,0 +1,11 @@
+
+.DS_Store
+Thumbs.db
+db.json
+*.log
+node_modules/
+public/
+.deploy*/
+.env
+.env.build
+.vercel

starter/hono-ai-sdk/.gitignore

@@ -0,0 +1,10 @@
+.DS_Store
+Thumbs.db
+db.json
+*.log
+node_modules/
+public/
+.deploy*/
+.env
+.env.build
+.vercel

starter/hono-ai-sdk/README.md

@@ -0,0 +1,12 @@
+[![Deploy with Vercel](https://vercel.com/button)](https://vercel.com/new/clone?repository-url=https://github.com/vercel/examples/tree/main/framework-boilerplates/hono&template=hono)
+
+Live Example: https://hono.vercel.dev/
+
+```
+npm install
+npm run dev
+```
+
+```
+open http://localhost:3000
+```

starter/hono-ai-sdk/package.json

@@ -0,0 +1,18 @@
+{
+  "name": "hono",
+  "type": "module",
+  "scripts": {
+    "dev": "vc dev",
+    "build": "vc build"
+  },
+  "dependencies": {
+    "ai": "5.0.0-beta.34",
+    "hono": "^4.8.9"
+  },
+  "devDependencies": {
+    "@types/node": "^20.11.17",
+    "tsx": "^4.7.1",
+    "typescript": "^5.8.3",
+    "vercel": "latest"
+  }
+}