fix(web): stamp exam-quality cards and raise rectification timeouts

Recorded-year quality probes were spoken-only, so the interview had no
choice card. Compare also re-scored after batch until the 105s attempt
aborted the turn.

Co-authored-by: Cursor <cursoragent@cursor.com>

frontend/src/app/api/rectification/agent/route.ts

@@ -18,7 +18,7 @@ import { createServerSupabaseClient } from "@/lib/supabase/server";
 import { defaultMessageOrigin, isRectificationMessageOrigin } from "@/lib/rectification-agentic/v9/message-origin";
 
 export const runtime = "nodejs";
-export const maxDuration = 120;
+export const maxDuration = 240;
 
 const agentRequestSchema = z.object({
   caseId: z.string().uuid(),

frontend/src/app/api/rectification/cases/[caseId]/turns/[turnId]/regenerate/route.ts

@@ -12,7 +12,7 @@ import { createServerSupabaseClient } from "@/lib/supabase/server";
 import { getRectificationV9RegenerationAgent } from "@/mastra/agentic-rectification";
 
 export const runtime = "nodejs";
-export const maxDuration = 120;
+export const maxDuration = 240;
 
 type RouteContext = { params: Promise<{ caseId: string; turnId: string }> };