E2E Test with tune API

[GSoC] Add e2e test for `tune` api with LLM hyperparameter optimization #193

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Run time

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Job	Run time
e2e (v1.27.11)	19m 21s
e2e (v1.28.7)	19m 43s
e2e (v1.29.2)	18m 52s
	57m 56s