Restore manual `Client` cleanup on session logout #11035

Job	Run time
Search for forbidden patterns	7s
Search for invalid dependencies	1m 9s
Search for invalid screenshot files	9s
Check shell scripts	8s
Detekt checks	2m 4s
Knit checks	1m 4s
Konsist tests	3m 9s
Ktlint checks	2m 8s
Android lint check	13m 17s
Project Check Suite	1m 11s
	24m 26s

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