tests: Move quart under toxgen #8721

Job	Run time
Common (pinned) (3.7, ubuntu-22.04)	3m 0s
Common (pinned) (3.6, ubuntu-22.04)	2m 53s
Common (pinned) (3.8, ubuntu-22.04)	3m 48s
Common (pinned) (3.9, ubuntu-22.04)	3m 51s
Common (pinned) (3.11, ubuntu-22.04)	3m 41s
Common (pinned) (3.10, ubuntu-22.04)	3m 42s
Common (pinned) (3.13, ubuntu-22.04)	4m 40s
Common (pinned) (3.12, ubuntu-22.04)	4m 35s
All pinned Common tests passed	3s
	30m 13s

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