E2E Test with tune API

[WIP] Add e2e test for `tune` api with LLM hyperparameter optimization #235

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Run time

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Job	Run time
e2e (v1.27.11)	53m 51s
e2e (v1.28.7)	53m 59s
e2e (v1.29.2)	53m 2s
	2h 40m 52s