Fixes a race where `await room.sid` could hang even after the room SI… #1552

Job	Run time
Make RTC sdist	17s
Build RTC wheels (AMD64)	1m 12s
Build RTC wheels (x86_64 arm64)	56s
Build RTC wheels (aarch64)	1m 12s
Build RTC wheels (x86_64)	54s
Generating protobuf	-1s
Test (ubuntu-latest, Python 3.9) / Test (ubuntu-latest, Python 3.9)	1m 42s
Test (ubuntu-latest, Python 3.10) / Test (ubuntu-latest, Python 3.10)	1m 33s
Test (windows-latest, Python 3.9) / Test (windows-latest, Python 3.9)	2m 57s
Test (ubuntu-latest, Python 3.14) / Test (ubuntu-latest, Python 3.14)	1m 26s
Test (macos-latest, Python 3.12) / Test (macos-latest, Python 3.12)	2m 3s
Test (ubuntu-latest, Python 3.11) / Test (ubuntu-latest, Python 3.11)	1m 34s
Test (ubuntu-latest, Python 3.12) / Test (ubuntu-latest, Python 3.12)	1m 50s
Test (windows-latest, Python 3.12) / Test (windows-latest, Python 3.12)	2m 7s
Test (macos-latest, Python 3.9) / Test (macos-latest, Python 3.9)	1m 58s
Test (macos-latest, Python 3.14) / Test (macos-latest, Python 3.14)	1m 48s
Test (windows-latest, Python 3.14) / Test (windows-latest, Python 3.14)	2m 18s
Test (ubuntu-latest, Python 3.13) / Test (ubuntu-latest, Python 3.13)	1m 49s
Publish RTC release	-1s
docs	0s
	27m 34s

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