[Sessions] Migrate to GoogleUtilities's storage container #4393

Job	Run time
iOS-Device (macos-12)	6m 26s
iOS-Device (macos-13)	7m 9s
platforms (tvOS, macos-12)	8m 55s
platforms (tvOS, macos-13)	8m 13s
swift-build-run (macos-12)	43m 14s
platforms (tvOS, macos-14)	3m 54s
swift-build-run (macos-13)	6m 43s
platforms (macOS, macos-12)	7m 36s
swift-build-run (macos-14, Xcode_15.2, spmbuildonly)	3m 42s
platforms (macOS, macos-13)	5m 33s
platforms (macOS, macos-14)	3m 14s
platforms (catalyst, macos-12)	6m 17s
platforms (catalyst, macos-13)	6m 13s
platforms (catalyst, macos-14)	3m 18s
platforms (macos-14, visionOS, Xcode_15.2)	5m 31s
	2h 5m 58s

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