Stateful tests for array/group manipulation

[dcherian]

Port over some stateful tests from Arraylake.

[Description of PR]

• [ ] blocked by https://github.com/zarr-developers/zarr-python/issues/2191
• [ ] check for https://github.com/zarr-developers/zarr-python/issues/2228
• [ ] check for https://github.com/zarr-developers/zarr-python/pull/2262

TODO:

• [ ] Add unit tests and/or doctests in docstrings
• [ ] Add docstrings and API docs for any new/modified user-facing classes and functions
• [ ] New/modified features documented in docs/tutorial.rst
• [ ] Changes documented in docs/release.rst
• [ ] GitHub Actions have all passed
• [ ] Test coverage is 100% (Codecov passes)