[MISC] Switch to ty for typechecking

[dragomirp]

Use ty for type checking.

Checklist

• I have added or updated any relevant documentation.
• I have cleaned any remaining cloud resources from my accounts.

[codecov]

Codecov Report

❌ Patch coverage is 77.77778% with 2 lines in your changes missing coverage. Please review.
✅ Project coverage is 70.71%. Comparing base (18cf99b) to head (62e0310).
⚠️ Report is 1 commits behind head on 16/edge.

Files with missing lines	Patch %	Lines
src/backups.py	66.66%	1 Missing ⚠️
src/relations/async_replication.py	0.00%	1 Missing ⚠️

Additional details and impacted files

@@           Coverage Diff            @@
##           16/edge    #1422   +/-   ##
========================================
  Coverage    70.70%   70.71%           
========================================
  Files           16       16           
  Lines         4298     4299    +1     
  Branches       691      691           
========================================
+ Hits          3039     3040    +1     
  Misses        1049     1049           
  Partials       210      210           

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