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- Red badge for rejected, gray for withdrawn, green for passed,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>

src/app/api/version/route.ts

@@ -1,7 +0,0 @@
-import { NextResponse } from 'next/server'
-
-export const dynamic = 'force-static'
-
-export function GET() {
-  return NextResponse.json({ buildId: process.env.NEXT_PUBLIC_BUILD_ID })
-}