Need the key lock for this door

A handy person from Inwood says:
I am needing a lock for this door and not sure which one I need. The outside handle is 1 ¹/?" the door is 1 ³/8" thick and the punch hole for lock is about 1 5/8". Thanks just overwhelmed by all the options.
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Tom from SWISCO responded:

Hello! Looks like your outer handle has a hole punch for a key plug, so you should be able to install our 82-310. I'm confident that this will be compatible with your mortise.

However, keep in mind that the position of your hole punch is centered. You need to make sure this aligns with the slot in the mortise that accepts the key lock. If they don't align, we'll need to come up with another solution.

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