Sets up the Bazel integration test with the new integration rule. This
commit is separate from the other changes because it required some
additional work. i.e.

The test has moved from `integration/bazel` to `integration/<..>/bazel`
where `<..>` is a new Bazel package defining the integration test.

This is necessary because we could not declare the integration test
within the `BUILD.bazel` file actually being part of the nested bazel
workspace. In those cases we can just define it at a higher-level and
use integration test `working_dir` attribute.

PR Close #44238