If they come in as the the same TESU course number, then TESU will prioritize the RA version (your CC course). If you're short a credit, it is almost always easier/cheaper to just take another 3 credit ACE/NCCRS subject to make up the difference - rather than searching out a 1 credit option.
Amberton - MSHRB
TESU - ASNSM/BSBA
TESU - ASNSM/BSBA