want key lock for Crestline sliding glass door

I would like to add a key lock to my Crestline sliding glass door. The door is about 1 1/2" thick. The outside handle looks like it could have a key but we forgot to order a keyed door when we bought it. Do you have something that will work with this type of door?

Before buying parts, take the handle off and make sure everything lines up for a cylinder. The outside pull may have to shift up or down to line up, and some outside pulls have the right hole spacing, some do not. It's hard to tell how things line up from pictures.