(Git-5) Refactor Solvability Check in auto_tick

[ytausch]

Description:

Building upon #3000, this PR refactors the solvability checking code in auto_tick.

Checklist:

• Pydantic model updated or no update needed

Cross-refs, links to issues, etc:

#3000 needs to be merged first.

[codecov]

Codecov Report

Attention: Patch coverage is 12.90323% with 27 lines in your changes missing coverage. Please review.

Project coverage is 76.26%. Comparing base (f2cf34b) to head (e4ee10e).
Report is 2 commits behind head on main.

Files with missing lines	Patch %	Lines
conda_forge_tick/auto_tick.py	12.90%	27 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #3003      +/-   ##
==========================================
- Coverage   76.29%   76.26%   -0.04%     
==========================================
  Files         115      115              
  Lines       12550    12559       +9     
==========================================
+ Hits         9575     9578       +3     
- Misses       2975     2981       +6     

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[beckermr]

You use textwrap.dedent but as far as I can tell, you have removed the import.

[ytausch]

@beckermr I think you were mislead here. I have removed the (somewhat redundant) import from textwrap import dedent but there is still a import textwrap import which is used. No import errors here.

[beckermr]

Ack I missed that. Thank you and LGTM!