ci: Fix permissions for the pushing the requirement checker changes #1585

Job	Run time
AutoReview Tests	17s
Lint CS	27s
Unit Tests (PHP 8.2, locked)	27s
Update the RequirementChecker	0s
Unit Tests (PHP 8.2, lowest)	21s
Unit Tests (PHP 8.2, highest)	28s
Unit Tests (PHP 8.3, highest, --ignore-platform-req=php+)	19s
Wait for the PHAR & Docker images	2m 5s
End-to-End Tests (_test_e2e_pass_no_config_min_composer_php, ghcr.io/box-project/box_php725)	27s
End-to-End Tests (_test_e2e_pass_no_config_min_box_php, ghcr.io/box-project/box_php82)	19s
End-to-End Tests (_test_e2e_pass_complete_min_composer_php, ghcr.io/box-project/box_php725)	14s
End-to-End Tests (_test_e2e_pass_complete_min_box_php, ghcr.io/box-project/box_php82)	19s
End-to-End Tests (_test_e2e_fail_complete_min_composer_php, ghcr.io/box-project/box_php725)	14s
End-to-End Tests (_test_e2e_fail_complete_min_box_php, ghcr.io/box-project/box_php82)	20s
End-to-End Tests (_test_e2e_skip_min_composer_php, ghcr.io/box-project/box_php725)	16s
End-to-End Tests (_test_e2e_pass_complete_requirement_checker_not_disabled, ghcr.io/box-project/b...	24s
End-to-End Tests (_test_e2e_fail_conflict, ghcr.io/box-project/box_php82)	21s
RequirementChecker status	1s
	7m 19s

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