NFC: BridgeJS: Remove dead cleanup infrastructure #2359

Job	Run time
Build for native target (macos-15, Xcode_16.4)	4m 11s
Test BridgeJS against Swift versions (swift:6.2, 602.0.0)	2m 59s
check-bridgejs-generated	2m 50s
Test BridgeJS against Swift versions (swift:6.1.2, 601.0.0)	2m 57s
Build and Test (ubuntu-24.04, https://download.swift.org/swift-6.3-branch/ubuntu2404/swift-6.3-DE...	13m 23s
format	30s
build-examples	19m 33s
Build and Test (ubuntu-24.04, https://download.swift.org/development/ubuntu2404/swift-DEVELOPMENT...	13m 21s
Build and Test (ubuntu-22.04, https://download.swift.org/development/ubuntu2204/swift-DEVELOPMENT...	17m 43s
prettier	9s
Build and Test (ubuntu-22.04, https://download.swift.org/swift-6.1-release/ubuntu2204/swift-6.1-R...	13m 32s
deploy-examples	0s
	1h 31m 8s

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