Polish for Hono examples. (#1178)

### Description

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### Demo URL

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### Type of Change

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

### New Example Checklist

- [ ] 🛫 `npm run new-example` was used to create the example
- [ ] 📚 The template wasn't used but I carefuly read the [Adding a new
example](https://github.com/vercel/examples#adding-a-new-example) steps
and implemented them in the example
- [ ] 📱 Is it responsive? Are mobile and tablets considered?

Author: anthonyshew

framework-boilerplates/hono/package.json

@@ -6,7 +6,6 @@
   },
   "devDependencies": {
     "@types/node": "^20.11.17",
-    "tsx": "^4.7.1",
     "typescript": "^5.8.3"
   }
 }

starter/hono-ai-sdk/package.json

@@ -7,7 +7,6 @@
   },
   "devDependencies": {
     "@types/node": "^20.11.17",
-    "tsx": "^4.7.1",
     "typescript": "^5.8.3"
   }
 }

starter/turborepo-with-hono/apps/api/package.json

@@ -11,7 +11,6 @@
   },
   "devDependencies": {
     "@types/node": "^20.11.17",
-    "tsx": "^4.7.1",
     "typescript": "^5.8.3"
   }
 }