chore: add _connectOverCDPTransport method #36229

Job	Run time
ubuntu-22.04 (chromium tip-of-tree)	10m 32s
ubuntu-22.04 (chromium - Node.js 20)	10m 17s
VSCode Extension	34m 52s
Installation Test macos-latest	16m 43s
Installation Test windows-latest	34m 26s
Installation Test ubuntu-latest	14m 14s
ubuntu-22.04 (chromium - Node.js 22)	10m 12s
ubuntu-22.04 (webkit - Node.js 20)	21m 17s
ubuntu-22.04 (firefox - Node.js 20)	22m 18s
ubuntu-22.04-arm (chromium - Node.js 20)	9m 53s
Test Runner (ubuntu-latest, 20, 1, 2, 58:42)	26m 20s
ubuntu-22.04 (chromium - Node.js 24)	10m 13s
Test Runner (macos-latest, 20, 2, 2, 58:42)	46m 0s
Test Runner (ubuntu-latest, 22, 1, 2, 58:42)	26m 7s
Test Runner (ubuntu-latest, 22, 2, 2, 58:42)	26m 55s
Test Runner (windows-latest, 20, 2, 3, 44:33:23)	29m 13s
Test Runner (ubuntu-latest, 20, 2, 2, 58:42)	27m 8s
Test Runner (windows-latest, 20, 1, 3, 44:33:23)	31m 13s
Test Runner (macos-latest, 20, 1, 2, 58:42)	30m 44s
Test Runner (ubuntu-latest, 24, 1, 2, 58:42)	25m 41s
Test Runner (windows-latest, 20, 3, 3, 44:33:23)	26m 2s
Test Runner (ubuntu-latest, 24, 2, 2, 58:42)	26m 45s
	8h 37m 5s

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