Refactored Education Tag-Along Logic

[IllianiCBT]

• Simplified and clarified tag-along logic for dependents during education journeys.
• Refactored child processing, accounted for active spouses as dependents, and streamlined status checks.

Fix #5766
Fix #5769

[codecov-commenter]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 10.20%. Comparing base (fd739ba) to head (3709528).
Report is 18 commits behind head on master.

Additional details and impacted files

@@             Coverage Diff              @@
##             master    #5764      +/-   ##
============================================
- Coverage     10.21%   10.20%   -0.01%     
+ Complexity     6076     6070       -6     
============================================
  Files          1010     1010              
  Lines        139310   139320      +10     
  Branches      20448    20451       +3     
============================================
- Hits          14231    14224       -7     
- Misses       123703   123721      +18     
+ Partials       1376     1375       -1     

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[HammerGS]

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