Re-remove accidentally readded exit conditions

[je-cook]

Description

I accidentally readded these in #4508, I also obviously messed up the rebase...added some more changes to solver that I meant to pull over from #4308

Checklist

I confirm that I have completed the following checks:

• My changes follow the PROCESS style guide
• I have justified any large differences in the regression tests caused by this pull request in the comments.
• I have added new tests where appropriate for the changes I have made.
• If I have had to change any existing unit or integration tests, I have justified this change in the pull request comments.
• If I have made documentation changes, I have checked they render correctly.
• I have added documentation for my change, if appropriate.

[codecov-commenter]

Codecov Report

❌ Patch coverage is 17.64706% with 14 lines in your changes missing coverage. Please review.
✅ Project coverage is 49.31%. Comparing base (8fe9306) to head (56a703c).

Files with missing lines	Patch %	Lines
process/core/solver/solver_handler.py	17.64%	14 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #4524      +/-   ##
==========================================
+ Coverage   49.30%   49.31%   +0.01%     
==========================================
  Files         150      150              
  Lines       29769    29769              
==========================================
+ Hits        14679    14682       +3     
+ Misses      15090    15087       -3     

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