Enable system and module-lib APIs in TestSnapshotWithJavaSystemModules

A follow-up change broke `TestSnapshotWithJavaSystemModules()` during
development. The code was fixed but it revealed an issue with the test
coverage of that test. That test only supported `public` APIs and the
fix could have had different behavior on `system` and `module-lib`
APIs. This change adds them to the test to make sure that the follow-up
change works correctly for them too.

Test: m --no-skip-soong-tests nothing
Bug: 321827591
Change-Id: I3b5570f5d4f0764ae365bfc448f287b50b9c2686