Black Fossil watch with silver case, AR engraved

I found a black Fossil watch with a silver round case (42mm) outside the Fort Dodge Public Library on Central Ave this afternoon around 3:15 pm. The dial is white with simple markers and a tiny scratch near the 2 o'clock position. The genuine black leather strap shows some creasing from wear, but it's in decent shape overall. On the back, someone has engraved the initials 'AR', and there’s a faint red thread loop tucked under the strap—clearly a personal marker. I figured someone might be missing it, so I held onto it here at the library desk until I could post it: if this might be yours, drop a message here and we can figure it out together.