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That type of connector has terminals that are crimped on to the wire and then pushed into the plastic body of the plug, they have two small spring tags which lock them in place. It is sometimes possible to remove them by using a very small screwdriver or similar object to push the spring tabs in, you might then be able to reuse the terminals by soldering the wires to them. They are quite fiddly to remove though and the spring tags can sometimes break off when you try to remove them.
This YouTube video shows the basic idea
The alternative if you can't successfully get them out and reuse them would be to source a new switch cable with the plug attached, I would imagine they would be available as a Gibson part.