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- Red badge for rejected, gray for withdrawn, green for passed,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/server/routers/user.ts

@@ -299,7 +299,7 @@ export const userRouter = router({
 
       // For APPLICANT users, attach their project's current round info
       const applicantIds = users.filter((u) => u.role === 'APPLICANT').map((u) => u.id)
-      const applicantRoundMap = new Map<string, { roundName: string; state: string } | null>()
+      const applicantRoundMap = new Map<string, { projectName: string; roundName: string; state: string } | null>()
 
       if (applicantIds.length > 0) {
         // Find each applicant's project, then the latest round state
@@ -342,11 +342,13 @@ export const userRouter = router({
             if (!applicantIds.includes(uid)) continue
             if (latestTerminal && !latestActive) {
               applicantRoundMap.set(uid, {
+                projectName: proj.title,
                 roundName: latestTerminal.round.name,
                 state: latestTerminal.state,
               })
             } else if (latest) {
               applicantRoundMap.set(uid, {
+                projectName: proj.title,
                 roundName: latest.round.name,
                 state: latest.state,
               })