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Lost key and need to replace it

Our laundry door doesn't have a key. Hasn't had one since we bought our house 10 years ago. It hasn't been a problem as we hardly need to enter from the outside and we can lock from the inside. We now need to get access externally into this door so need to get it sorted. Either we need to get a key cut for it or replace the current lock. Picture of inside and outside of what type of lock. Thanks