Delete browser-integration job from ci.yml #35727

Job	Run time
knip	34s
typecheck	42s
coverage	11m 14s
self-check	53s
format	33s
misc	27s
Test Node 24 on windows-latest	10m 57s
lint	1m 1s
Test Node 14 on ubuntu-latest	12m 19s
Test Node 14 on windows-latest	14m 28s
package-size	1m 29s
smoke	54s
Test Node 24 on ubuntu-latest	8m 29s
baselines	9m 20s
Test Node lts/* on ubuntu-latest with --no-bundle	10m 45s
required	2s
	1h 24m 7s

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