feat(api): add review day handling and dynamic campaign length

apps/api/src/gate.ts

@@ -5,7 +5,8 @@
  * The gate half is a topic-blind quiz. When the plan fixes the set
  * (`gate` in data/schedule.json) that list IS the gate, verbatim — every
  * number must be a catalog problem, or the issue is not created, because a
- * `/done` on an uncatalogued number can never be logged. Otherwise the set
+ * `/done` on an uncatalogued number can never be logged; an empty list skips
+ * the week's checkpoint outright. Otherwise the set
  * is sampled: one unsolved optional problem per topic scheduled this week
  * (which is why daily drills only draw from earlier weeks), never one the
  * plan has reserved. The recap half is generated data, deliberately NOT a
@@ -77,6 +78,7 @@ export async function createReviewIssue(env: Env, gh: GitHub, date: string): Pro
   // week without topics, across every topic that still has an unsolved pool.
   const picks: { p: ProblemRow; fallback: boolean }[] = [];
   const planned = SCHEDULE[date]?.gate;
+  if (planned?.length === 0) return { created: false, reason: `the plan skips the week ${week} checkpoint` };
   if (planned) {
     const { rows, missing } = await lookupProblems(db, planned);
     if (missing.length) {