E2E Test with tune API

[WIP] Add e2e test for `tune` api with LLM hyperparameter optimization #249

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Run time

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Job	Run time
e2e (v1.27.11)	18m 2s
e2e (v1.28.7)	18m 39s
e2e (v1.29.2)	18m 36s
	55m 17s