What is the fitting on the terminus of the coax? Is it an F connector (typical TV/cable video connector), a PL-259 (amateur/CB radio connector) or...?
I know what I'd do, FWIW.
If the former (i.e., an F-connector), I'd get a (short) piece of coax with an F connector on it, cut and strip back the other end of the coax in the traditonal way one preps it to install a connector, twist up the braid, and connect the center conductor to the "hot" AM terminal and the braid (shield) to the geound terminal for the AM antenna.
Sort of like the above photo, but strip it back further (maybe an inch and a half), then, instead of folding back the braid, twiddle it up into the form of a "wire" (you may need to cut a few strands. I would tin the twisted up ground connector, and - of course - you need to make it thin enough to fit into the (small) hole for a wire in the GND terminal on the AVR (see next post below).
EDIT: here's a slightly more
apropos photo!
The other end has an F connector on it and you can connect it to
your F connector-terminated antenna downlead using an F connector union (female/female)