Look in the open end of the plug and you can see that there are two or three little metal tabs or barbs that keep the pin in the socket. Gently pushing the wire and pin further into the receptacle, use the point of an x-acto knife to gently bend each barb back into the pin barrel, then the wire with attached pin will pull easily out the back. Reset the barbs, plug into the desired hole.
Always alter the fan end, always make pass-thru connectors standard output. Otherwise you can forget, start reconfiguring stuff, and let the magic smoke out....