Implement room status change upon attach or detach #162

Job	Run time
generate-matrices	35s
lint	49s
SPM (Xcode 15.3)	51s
Xcode, macOS (Xcode 15.3)	2m 1s
SPM (Xcode 16-beta)	1m 2s
Example app, macOS (Xcode 15.3, Swift 5)	2m 13s
Xcode, iOS (Xcode 15.3)	2m 9s
Example app, iOS (Xcode 15.3, Swift 5)	1m 42s
Xcode, tvOS (Xcode 15.3)	2m 46s
Xcode, macOS (Xcode 16-beta)	2m 40s
Xcode, iOS (Xcode 16-beta)	2m 31s
Example app, tvOS (Xcode 15.3, Swift 5)	1m 40s
Xcode, tvOS (Xcode 16-beta)	3m 5s
Example app, macOS (Xcode 16-beta, Swift 6)	2m 16s
Example app, iOS (Xcode 16-beta, Swift 6)	2m 21s
Example app, tvOS (Xcode 16-beta, Swift 6)	1m 53s
all-checks-completed	1s
	30m 35s

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