Hi,
Thank you very much for the details!
The main issue was, that the current update does not fully support Loop Grid filtering yet – but luckily today we are releasing the new update, so I preinstalled it for you.
I also tweaked the query, so that only the programs are used (I assume you want that), and also made sure that programs without taxonomy terms attached to them are excluded when the filter is used.
Now hopefully everything should work as expected.