Keyed alike lock on side gate

[fromleicester]

We have a new front door with ABS avocet lock. I’d like to get a keyed alike lock for our side gate. The side gate is a pretty thin, probably not very secure entrance.

I had thought I’d buy a euro cylinder long throw lock but apparently this won’t work with an ABS cylinder as it is does not have a cog.

So now I’m wondering if some kind of rim lock would work?

As you can tell, I’m new to all this and would appreciate any thoughts.

Thanks.