[HR] Horse reins invisible when mounting a horse with multiple riding outfits

When a horse has more than one outfit in the Riding Outfit category, the horse automatically switches to a different riding outfit at the very end of the mounting animation (so it switches to riding outfits twice instead of once). After this happens, the reins become invisible and remain invisible for the entire ride.

Steps to Reproduce:

1. Select a horse in CAS and give it at least two different outfits in the Riding Outfit category (mine had 3). Use outfits you can distinguish so you see the change twice during the animation later.
2. In Live Mode: Have a Sim mount the horse.
3. Observe the horse at the end of the mounting animation, when it switches to a different riding outfit. (I think this is a bug that also happens with Sims recently when they switch outfits more than once)
4. Notice that the reins never appear and remain invisible throughout the ride.

Expected Result:

The horse's reins should remain visible throughout the entire time the Sim is mounted and during riding, and the outfit change to riding outfit should happen only once.

I tested this without mods, on PC, and have all packs installed. I tested on several horses and Sims and locations, which is how I noticed it only happens when the horse has multiple riding outfits.