Joining voice and starting the broadcast instantly looks like a bot. Add
randomised, human-plausible pauses (~0.9-2.2s after coming online before
joining the channel, ~2.5-5s after joining before hitting Go Live) so the
cadence isn't machine-instant or fingerprintable. The pause resolves
immediately on stop() so teardown never hangs mid-wait.
Verified live: end-to-end join -> settle -> Go Live took ~8s before the
stream went live, held for 15s, and tore down cleanly. tsc --noEmit passes.
b6cf05f6cf