Hi Tye,
I recommend setting the autocomplete to “Post titles” only, that will suggest product titles respecting the exclusions: https://i.imgur.com/fCCKnzW.png
If you wish to exclude certain taxonomy terms from results (as results), then you can do it here: https://i.imgur.com/ThzicFh.png
I checked your back-end configuration, and in your exact case, you have to enter these IDs there:
246,274,1073,1091,1213,1179,1216,1189,1048,989,979,1079,1108,257,254,1252,1240,208,44,51,1241