Use data delivery permission checks

The new PermissionChecker APIs check permission for a client while also
intiating an AppOp at the same time. They are also capable of checking
permissions for the full AttributionSource chain in the process.

In this change, we switch out the legacy AppOpsManager APIs for the
new PermissionChecker APIs. Some details may need to be ironed out,
particularly when it comes to prioritization of clients. This will be
handled in a future CL.

Bug: 190657833
Bug: 369841571
Test: Ran CameraPermissionTest with 10 iterations for all flag permutations
Flag: com.android.internal.camera.flags.check_full_attribution_source_chain
Change-Id: If6a777bcb9af4f7004a45a2aac35a404be8d9db1