Refactor merge conflict checker workflow

[DaanHoogland]

Updated workflow triggers and permissions for merge conflict checker.

Description

This PR...

Fixes: #13181

Types of changes

• Breaking change (fix or feature that would cause existing functionality to change)
• New feature (non-breaking change which adds functionality)
• Bug fix (non-breaking change which fixes an issue)
• Enhancement (improves an existing feature and functionality)
• Cleanup (Code refactoring and cleanup, that may add test cases)
• Build/CI
• Test (unit or integration test code)

Feature/Enhancement Scale or Bug Severity

Feature/Enhancement Scale

• Major
• Minor

Bug Severity

• BLOCKER
• Critical
• Major
• Minor
• Trivial

Screenshots (if appropriate):

How Has This Been Tested?

How did you try to break this feature and the system with this change?

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 18.08%. Comparing base (5893ba5) to head (38a0e54).

Additional details and impacted files

@@             Coverage Diff              @@
##               main   #13183      +/-   ##
============================================
- Coverage     18.09%   18.08%   -0.01%     
+ Complexity    16723    16718       -5     
============================================
  Files          6037     6037              
  Lines        542580   542580              
  Branches      66427    66427              
============================================
- Hits          98155    98136      -19     
- Misses       433399   433417      +18     
- Partials      11026    11027       +1     

Flag	Coverage Δ
uitests	3.51% <ø> (ø)
unittests	19.25% <ø> (-0.01%)	⬇️

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[vishesh92]

clgtm. We will need to merge and test to check if it's working or not.
Regarding the frequency of 10 minutes, this will currently result in 144 runs in a day. I am assuming that is fine for us.

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[sonarqubecloud]

Quality Gate passed

Issues
0 New issues
0 Accepted issues

Measures
0 Security Hotspots
0.0% Coverage on New Code
0.0% Duplication on New Code

See analysis details on SonarQube Cloud