Replaces arbitrary `sleep()` calls in integration tests with explicit `wait-helpers`. These new helpers actively poll for specific conditions (e.g., room deletion, participant connection, recording status) directly from the database or LiveKit, rather than relying on fixed delays. This significantly reduces test flakiness and improves the accuracy of assertions.
Extracts LiveKit CLI interaction helpers (`joinFakeParticipant`, `disconnectFakeParticipants`, `updateParticipantMetadata`) into a dedicated `livekit-cli-helpers.ts` file for better organization and separation of concerns. Updates numerous integration tests to utilize the new waiting and LiveKit CLI helpers.
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