Standalone Lite: Move DeviceDtypeModuleMixin

[awaelchli]

What does this PR do?

Moves DeviceDtypeModuleMixin to Lite standalone package. Requested by reviewer to split out of #14492

Needs to be merged with rebase+merge.

Before submitting

• Was this discussed/approved via a GitHub issue? (not for typos and docs)
• Did you read the contributor guideline, Pull Request section?
• Did you make sure your PR does only one thing, instead of bundling different changes together?
• Did you make sure to update the documentation with your changes? (if necessary)
• Did you write any new necessary tests? (not for typos and docs)
• Did you verify new and existing tests pass locally with your changes?
• Did you update the CHANGELOG? (not for typos, docs, test updates, or internal minor changes/refactorings)

PR review

Anyone in the community is free to review the PR once the tests have passed.
Before you start reviewing make sure you have read Review guidelines. In short, see the following bullet-list:

• Is this pull request ready for review? (if not, please submit in draft mode)
• Check that all items from Before submitting are resolved
• Make sure the title is self-explanatory and the description concisely explains the PR
• Add labels and milestones (and optionally projects) to the PR so it can be classified

Did you have fun?

No. Splitting out changes from a PR that is already splitting out changes from another PR already splitting out changes from the original PR is not fun.

cc @Borda @tchaton @rohitgr7 @carmocca @justusschock @awaelchli @akihironitta

[tchaton]

LGTM !

[codecov]

Codecov Report

Merging #14511 (c31b5dc) into master (6773df9) will increase coverage by 28%.
The diff coverage is 46%.

@@            Coverage Diff            @@
##           master   #14511     +/-   ##
=========================================
+ Coverage      60%      88%    +28%     
=========================================
  Files         343      226    -117     
  Lines       26925    19425   -7500     
=========================================
+ Hits        16162    17105    +943     
+ Misses      10763     2320   -8443