E2E Test with tune API

[WIP] Add e2e test for `tune` api with LLM hyperparameter optimization #234

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Run time

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Job	Run time
e2e (v1.27.11)	22m 50s
e2e (v1.28.7)	24m 3s
e2e (v1.29.2)	23m 17s
	1h 10m 10s