Add 3rd party tests for litestar (#578) #1914

Job	Run time
Lint	5s
Run tests (3.8)	9s
Run tests (3.9)	5s
Run tests (3.9.12)	11s
Run tests (3.10)	7s
Run tests (3.10.4)	15s
Run tests (3.11)	5s
Run tests (3.11.0)	16s
Run tests (3.12)	7s
Run tests (3.12.0)	13s
Run tests (3.13)	7s
Run tests (3.13.0)	14s
Run tests (pypy3.8)	19s
Run tests (pypy3.9)	8s
Run tests (pypy3.10)	7s
Create an issue if daily tests failed	0s
	2m 28s

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