@ken-hulme, disregard my post below. I misread your reply and thought you meant the tuners closest to the nut rather than the ones closest to me as I was holding the dulcimer in playing position.

Anyhow, going to restring it right after I post.

ETA : I have it restrung. Had to cut the 1st new middle drone and replace it. I had another string running over it instead of under it. No big deal, I bought extras. It took about 30 minutes but it shouldn't take that long next time. Tuned it DAA and let it sit about an hour. Still in tune. Sounds fine.

updated by @charlie-in-ky: 06/17/22 11:10:45PM

Ok Ken, thanks. The inner melody string in the photo is actually on the second to the farthest tuner from the nut, but I understand your info. 

Looks good.  -- the two melody strings go to the tuners closest to you; the middle drone and bass drone go to the tuners on the far side.

DO NOT take all the strings off at once.  Replace one string at a time.

I'm getting ready to put new strings on my new dulcimer but I'm not certain if they are the original strings.