Compile and then run integration test in e2e test.
Compile and then run integration test in e2e test.

PiperOrigin-RevId: 309798206

GoogleCloudPlatform/cloud-profiler-python,GoogleCloudPlatform/cloud-profiler-python,GoogleCloudPlatform/cloud-profiler-python,GoogleCloudPlatform/cloud-profiler-python,GoogleCloudPlatform/cloud-profiler-python