Recombining cut model with peg!

I have a nice statuette with a pointless cut in the middle. While it has a triangular peg and joins quite cleanly, I would much prefer to do a single print.

I can combine the pieces but it’s dicey because of the fine detail at the cut.

Any technique for recombining the pieces?

If you want to do it accurately, don’t move it by hand; instead, use numerical values and world coordinates:

Try Face and Face Assembly or Point and Point Assembly.