Switch to using `mne-tools/spec-zero-update-versions` action

[tsbinns]

Reminder to replace https://github.com/mne-tools/mne-python/blob/main/tools/dev/spec_zero_update_versions.py with calls to https://github.com/mne-tools/mne-tools/blob/main/actions/spec-zero-update-versions/action.yml