Re-apply Playwright upgrade (#550) #2020

Job	Run time
Build for native target (macos-15, Xcode_16.4)	3m 45s
build-examples	41m 49s
format	33s
Build and Test (ubuntu-24.04, https://download.swift.org/swift-6.3-branch/ubuntu2404/swift-6.3-DE...	13m 43s
Build and Test (ubuntu-24.04, https://download.swift.org/development/ubuntu2404/swift-DEVELOPMENT...	13m 22s
Build and Test (ubuntu-22.04, https://download.swift.org/swift-6.1-release/ubuntu2204/swift-6.1-R...	13m 43s
check-bridgejs-generated	2m 49s
Build and Test (ubuntu-22.04, https://download.swift.org/development/ubuntu2204/swift-DEVELOPMENT...	17m 3s
deploy-examples	10s
	1h 46m 57s

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