[UX][Serve] More comprehensive `target_qps_per_replica` check #13701

Job	Run time
python-test (3.8, tests/unit_tests)	6m 23s
python-test (3.8, tests/test_api.py)	3m 35s
python-test (3.8, tests/test_cli.py)	3m 58s
python-test (3.8, tests/test_config.py)	3m 18s
python-test (3.8, tests/test_global_user_state.py)	3m 43s
python-test (3.8, tests/test_jobs.py)	3m 58s
python-test (3.8, tests/test_list_accelerators.py)	3m 47s
python-test (3.8, tests/test_optimizer_dryruns.py)	5m 20s
python-test (3.8, tests/test_optimizer_random_dag.py)	4m 5s
python-test (3.8, tests/test_storage.py)	3m 18s
python-test (3.8, tests/test_wheels.py)	3m 40s
python-test (3.8, tests/test_spot_serve.py)	3m 18s
python-test (3.8, tests/test_yaml_parser.py)	3m 36s
	51m 59s

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