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...at a minimum, I would need a few decent photos to hazard a guess at the issue. Even then, I'm uncertain.
You can measure the diameter of your cables with a caliper, and the openings of the noodles similarly.

Sometimes used bikes can get modified with different parts in unnatural ways, so don't assume brake noodles were on there originally.
Fuji used that name for a long time, before the current owners of the brand name re-envisioned it. So I honestly don't have a clue about what you are working on.