E2E Test with Katib UI, random search, and postgres

[GSoC] Add e2e test for `tune` api with LLM hyperparameter optimization #1350

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Run time

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Job	Run time
e2e (v1.29.2)	16m 36s
e2e (v1.30.7)	14m 58s
e2e (v1.31.3)	16m 30s
	48m 4s