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Fix publish-release trigger and push auth #9061

Job	Run time
benchmark	1m 37s
test (Rails main_head, Ruby head)	39s
test (Rails 7.1, Ruby 3.2)	45s
test (Rails 8.1, Ruby 4.0)	35s
test (Rails 7.2, Ruby 3.3)	49s
Test compatibility with Primer ViewComponents (main)	1m 37s
test (Rails 8.0, Ruby 3.4)	42s
test (Rails main, Ruby 4.0)	59s
coverage	19s
	8m 2s