The Alchemist mentioned that his old home in Lone Thistle attracted cats because of a rat infestation. Even after all these years, there's a chance that some cats still populate the area. Craft cat food bait with the Farmer for taming a stray cat to proceed!

You've crafted the cat food needed to tame a stray cat. Now go to Lone Thistle and search the Alchemist's tower above the Shroud to find and tame a cat!

You've reached the Alchemist's tower. Search inside for a stray cat!

You've picked up the stray cat from the Alchemist's tower! Place it in your home to welcome it!

You've placed the cat in your home! Now craft a cat bowl and a cat bed to make your new pet happy!