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Backport: Skip pull_request triggered runs in private repos - 5.7 Branch #65332

Job	Run time
PHP 7.4 / PHP 7.4 / Single Site	4m 54s
PHP 7.0 / PHP 7.0 / Single Site	4m 11s
PHP 7.4 / PHP 7.4 / Multisite with memcached	4m 29s
PHP 7.0 / PHP 7.0 / Multisite	5m 8s
PHP 5.6 / PHP 5.6 / Multisite	7m 27s
PHP 5.6 / PHP 5.6 / Single Site	7m 31s
PHP 5.6 / PHP 5.6 / Multisite slow tests	2m 24s
PHP 8.0 / PHP 8.0 / Multisite	4m 25s
PHP 8.0 / PHP 8.0 / Single Site	4m 3s
PHP 5.6 / PHP 5.6 / Single Site slow tests	2m 28s
PHP 7.4 / PHP 7.4 / Single Site with memcached	4m 53s
PHP 7.4 / PHP 7.4 / Multisite	4m 17s
Slack Notifications	-1s
Failed workflow tasks	-1s
	56m 8s