Welcome to the forum! Congrats on your new acquisition.
Since your asking about getting the new part, I presume you want to install it, i.e., work on your own gun.
Although you're not having problems, here's a little very simple maintenance you can do to tune it up before you do have problems:
CARRY UP SUMMARY:
When the cylinder is a few thousandths short of advancing completely to lock up, known as "carry up", peening the teeth to 'upset' metal on the extractor star is much simpler than finding and fitting a new hand.
The hand is made of harder steel than the teeth since it has six times the contacts of each tooth, and this is a typical result after many rounds of shooting. That's why I would not install a new hand, it already has the advantage.
With the cylinder open in a vertical position, use a flat tipped punch to very gently peen each of the offending teeth of the 6 ratchet teeth on the rear vertical surface of the edge contacted by the hand. One tap on each tooth will usually do it and the gun will function perfectly for another 20+ years. I've fixed so many that way I can't count them.
You've already correctly assessed excessive cyl end play (and/or yoke end play). These should be addressed before any peening is attempted. Also be sure that neither the trigger or hammer stud is not loose or broken, or that the extractor rod or particularly the yoke are true and not bent.
I have more detail if you're interested.
NOTE ON SIDE-TO-SIDE CYL PLAY:
Make sure the edges of the cylinder notches are not burred out or the cyl bolt can pop out of the notch. Gentle peening of the notch edges can fix that as well. "Tight lock up" is fine, but can be over emphasized. Recognize the cyl needs some play for the bullet to align the chamber to the barrel, the job of the forcing cone.
When looking at the back of the cylinder ratchets on the extractor star: the tooth to work on is at about 3 o'clock. The offending chamber is the next one to be rotated up to the 12 o'clock position:
Most of all, enjoy working on it.