Drill through the entire mechanism.
How to drill a door lock hole.
Exterior locksets commonly have a 2 and 3 4 inch backset.
Most interior locksets have a 2 and 3 8 inch backset.
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The backset is the distance from the edge of the door to the center of the giant hole you drill in the face of the door.
Switch to either a larger 3 4 inch 19 mm drill bit or a specially made cylindrical tubular lock bit.
This will destroy the entire lock.
Tubular lock bits are generally 3 75 inches 9 53 cm and similar to hole saws used to drill larger holes for installing locks in doors.
Drilling a door lock opening in a wooden door requires a hole saw and a spade bit both of which are used with a drill.
To know where to drill this hole from the edge of the door you need to know the backset of the lockset.