Add a job for running the HTML API tests. #12716

Job	Run time
Core running from build / Core running from build / Linux	2m 11s
Core running from src / Core running from src / Linux	2m 0s
Core running from build / Core running from build / Windows	4m 40s
Core running from src / Core running from src / Windows	3m 26s
Core running from build / Core running from build / MacOS	2m 22s
Core running from src / Core running from src / MacOS	2m 25s
Gutenberg running from src / Gutenberg running from src / Linux	8m 25s
Gutenberg running from build / Gutenberg running from build / Linux	8m 42s
Gutenberg running from build / Gutenberg running from build / Windows	12m 9s
Gutenberg running from src / Gutenberg running from src / Windows	11m 42s
Gutenberg running from build / Gutenberg running from build / MacOS	7m 58s
Gutenberg running from src / Gutenberg running from src / MacOS	6m 58s
Slack Notifications	0s
Failed workflow tasks	0s
	1h 12m 58s

Provide feedback