Screen/storm door lock

A home owner from Connecticut says:
The only ID on our screen/storm door is "LGR" on the pneumatic door closer. The original lock of this outward-swinging door can be locked from the inside only.
We'd like to replace the original lock or find some kind of screen door key-locking deadbolt or keyable push button latch to add that would allow us to lock the door from both the inside and outside. However the width of the screen/storm door is only 3/4", and within the groove, the width is only 1/2". Any suggestions are welcome. Thank you.
Storm door handle
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Tom from SWISCO responded:
Thank you for reaching out to us. I would like for you to take a look at our 40-150 inside handle along with our 40-039 keyed deadbolt. Let us know if these could work as replacements for you.
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