E2E Test with Katib UI, random search, and postgres

[WIP] Add e2e test for `tune` api with LLM hyperparameter optimization #1160

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Run time

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Job	Run time
e2e (v1.27.11)	16m 56s
e2e (v1.28.7)	23m 18s
e2e (v1.29.2)	16m 6s
	56m 20s