fix: version guard uses static file, members table shows project name with round badge

Version guard:
- Replace API route with prebuild-generated public/build-id.json
- Captures build ID on first load, only notifies on mismatch
- Fixes false positive refresh prompts from env mismatch

Members table (applicants):
- Show project name + round badge instead of round name + state
- Red badge for rejected, gray for withdrawn, green for passed,
  outline for active rounds
- Include projectName in applicantRoundInfo from backend

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

package.json

@@ -5,6 +5,7 @@
   "type": "module",
   "scripts": {
     "dev": "next dev --turbopack",
+    "prebuild": "node -e \"require('fs').writeFileSync('public/build-id.json', JSON.stringify({buildId: Date.now().toString()}))\"",
     "build": "next build",
     "start": "next start",
     "lint": "next lint",