Re-apply Playwright upgrade #2017

Job	Run time
Build for native target (macos-15, Xcode_16.4)	2m 43s
build-examples	44m 2s
format	31s
Build and Test (ubuntu-24.04, https://download.swift.org/swift-6.3-branch/ubuntu2404/swift-6.3-DE...	13m 3s
check-bridgejs-generated	2m 49s
Build and Test (ubuntu-24.04, https://download.swift.org/development/ubuntu2404/swift-DEVELOPMENT...	13m 10s
Build and Test (ubuntu-22.04, https://download.swift.org/swift-6.1-release/ubuntu2204/swift-6.1-R...	13m 44s
Build and Test (ubuntu-22.04, https://download.swift.org/development/ubuntu2204/swift-DEVELOPMENT...	16m 17s
deploy-examples	-1s
	1h 46m 18s

Provide feedback