Description:
Add no-hash option. It will disable adding hash in cache key. So instead of setup-python-{os}-python-{python_version}-{package_manager}-{hash("dependency file")} we will have setup-python-{os}-python-{version}-{package_manager} in key.

P.S. How about pass to {python_version} (from key) only major and minor versions (X.X.x), example 3.10 instead of 3.10.4?

Justification:
Whould be usefull to update dependecies instead of re-install all them again.

Are you willing to submit a PR?
Sorry, but I don't know codebase at all.