Add MOVE_DIRECTORY forward model job

[DanSava]

Issue
Resolves #6060

• PR title captures the intent of the changes, and is fitting for release notes.
• Added appropriate release note label
• Commit history is consistent and clean, in line with the contribution guidelines.
• Make sure tests pass locally (after every commit!)

When applicable

• When there are user facing changes: Updated documentation
• New behavior or changes to existing untested code: Ensured that unit tests are added (See Ground Rules).
• Large PR: Prepare changes in small commits for more convenient review
• Bug fix: Add regression test for the bug
• Bug fix: Create Backport PR to latest release

[codecov-commenter]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 90.88%. Comparing base (e27780a) to head (0d475f3).
Report is 8 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #8374      +/-   ##
==========================================
+ Coverage   90.65%   90.88%   +0.22%     
==========================================
  Files         345      347       +2     
  Lines       21056    21076      +20     
==========================================
+ Hits        19088    19154      +66     
+ Misses       1968     1922      -46     

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[yngve-sk]

LGTM, please fixup wrt comments on reformulating the docs to be a bit more clear/concise