⚡ Bolt: [Remove redundant participant list]

[Adityasingh-8858]

💡 What: Optimized the remove_participant_from_room function to directly call remove_participant on the LiveKit API without first calling list_participants. Missing participant 404s are now cleanly caught via exceptions.
🎯 Why: The previous code was iterating over an unnecessary network response, doubling the API latency and increasing risk of rate limiting.
📊 Impact: Halves the network requests in this flow, turning an O(N) network-bound lookup into an O(1) removal.
🔬 Measurement: Verify tests still pass via python -m pytest backend/ and observe reduced network latency during transfers.

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PR created automatically by Jules for task 17849851045340478584 started by @Deepaksingh7238

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