Flesh out matching logic

What needs to be done

Review and refactor the matching logic that currently exists in the prototype.
Primarily in the match_children_ignore_order method inside of matching.py.

Why it needs to be done

We need this for our core matching logic.

Acceptance Criteria

• Working with existing prototype code, review and refactor matching.py to match elements after keys have been generated for those elements. See matching.py.

Technical Notes

• Development should be done on the david/prototype-diff branch to ensure new code still properly integrates with all of the prototype code that hasn't been fleshed out yet. Once this feature is complete, then a new branch should be created to merge only the files relevant to this feature into main.