Use the flat end of a spudger to pry up and unlatch the metal locking arm on the battery connector.

Make sure the metal arm is completely free of the locking tab before lifting the battery connector. The metal locking arm should easily unlatch.

Lift straight up on the metal locking arm to pull the battery connector out of its socket on the logic board.

During reassembly, press the battery connector straight down into its socket, making sure it sits flush within the socket.

If necessary, push the rear, wire side of the connector into place first, then rock the front of the connector into place.