Revert "Reapply (Git-6) Use new Git Backend in Entire auto_tick flow"

[beckermr]

Reverts #3124

[codecov]

Codecov Report

Attention: Patch coverage is 62.60504% with 89 lines in your changes missing coverage. Please review.

Project coverage is 76.60%. Comparing base (c61b753) to head (2611036).
Report is 4 commits behind head on main.

Files with missing lines	Patch %	Lines
conda_forge_tick/git_utils.py	22.47%	69 Missing ⚠️
conda_forge_tick/auto_tick.py	4.76%	20 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #3126      +/-   ##
==========================================
- Coverage   77.46%   76.60%   -0.86%     
==========================================
  Files         124      124              
  Lines       13280    13017     -263     
==========================================
- Hits        10287     9972     -315     
- Misses       2993     3045      +52     

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