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Skip GITHUB_TOKEN-incompatible push-perm probe in script/publish under Actions #9063

Job	Run time
benchmark	1m 31s
test (Rails 8.0, Ruby 3.4)	41s
test (Rails 8.1, Ruby 4.0)	46s
Test compatibility with Primer ViewComponents (main)	1m 36s
test (Rails main, Ruby 4.0)	33s
test (Rails 7.1, Ruby 3.2)	37s
test (Rails 7.2, Ruby 3.3)	30s
test (Rails main_head, Ruby head)	29s
coverage	12s
	6m 55s