Double hook patio door lock need to replace with a keyed lock for home entry.

by Shaun
(RPV, CA USA)

My wife and I just purchased a new home and the only way in besides the front door (which is not convenient as I have to walk out of the garage and all the way around the property) is through the sliding door on the patio which is attached to the garage. The problem is this sliding door does not have a keyed lock from the outside which means I would have to leave it unlocked at all times when I leave the house. This is not ideal obviously as someone could just walk in. The problem I'm having is that I cannot seem to find the correct replacement lock if there even is one. The current lock has 2 hooks/latches instead of 1. The only replacements I am finding online are single hook/latch. I luckily came across your site as all my research previously has come up completely empty. Any help would be greatly appreciated.

I am attaching some pics of my door and locking system as well as a pic of a lock I found online that looks to be the closest thing to my handle but is only a single hook/latch. I am hoping it may still work but I am not sure if a double can replace a single

Thank you very much.