Resi Cues 1.0.1: the next cue's name keeps moving on a 30-second Resi

On a Resi that publishes every ~30s, the board could start a few seconds
before a publish and learn a 2s cadence from that partial first gap. Every
honest 30s gap after that was thrown out as a pause, so playback read as
paused 15s into every update: the countdown froze, and the next cue -- and
the name on the Timers card -- stopped moving on.

- The partial gap right after startup is no longer learned, and one outlier
  gap can no longer lock out the real cadence.
- Until a cadence is measured, a pause is only called after 45s, not 15s.
- The Timers card is titled with the cue's name; its status line now says
  "Next cue" / "Held" instead of repeating the name.
- server.test.js awaited nothing, so an async test raced the next one and
  failed on main; tests now run one at a time.

Same fix as the Resi -> ProPresenter bridge and the Companion module 0.1.2.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

modules/resi-cues/resi.test.js

@@ -197,6 +197,32 @@ test('surroundingCues puts a cue you are exactly on behind you', () => {
   assert.strictEqual(surroundingCues([], 1000).next, null);
 });
 
+/* ── starting partway through Resi's cycle ─────────────────────────────── */
+
+// Seen live at North Attleboro: Resi publishing every ~30s, and the board starting a
+// few seconds before a publish. The first "gap" it measured was 2s (9s after a
+// reboot), and once that was the cadence every honest 30s gap was thrown out as a
+// pause gap -- so playback read as paused 15s into every update, the countdown froze,
+// and the next cue (and its name) stopped moving on.
+for (const [into, burst] of [[28000, false], [21000, false], [0, true]]) {
+  test(`30s Resi, started ${into / 1000}s into its cycle${burst ? ', 2s burst after a seek' : ''}: never falsely paused`, () => {
+    const w = makeWorld({ cadence: 30000, lag: 1000, jitter: 2000, net: 500 });
+    w.lastPublish = w.t - into;
+    const head = createPlayhead({ now: () => w.t });
+    const second = () => { w.advance(1000); head.note(w.poll()); return head.read(); };
+    let paused = 0;
+    for (let i = 0; i < 100; i++) if (!second().playing) paused++;
+    if (burst) {
+      w.media += 15 * 60000;                       // a seek, published at once...
+      w.lastPublish = w.t - w.nextCadence;
+      second(); second();
+      w.lastPublish = w.t - w.nextCadence;          // ...and again 2s later
+    }
+    for (let i = 0; i < 300; i++) if (!second().playing) paused++;
+    assert.strictEqual(paused, 0, `read as paused for ${paused}s while playing`);
+  });
+}
+
 /* ── the matrix ────────────────────────────────────────────────────────── */
 
 const argv = process.argv.slice(2).map(Number);