High beams come on when signaling right

I have a 2004 GMC Yukon SLT, 2WD.

At night, when I signal right, my high beams come on. After making the right turn, my signal disengages and the high beams return to low.

Now I only make left turns at night. Any ideas?

The multi-function switch, which has been problematic on some GM vehicles, is undoubtedly the problem here. If you replace it, your problems should be over.