Our focus is on the battery connector, highlighted in green. The connector plugs in perpendicular to the motherboard - straight up and down, rather than sliding to one side.

Using a plastic spudger, slide the metal retaining clip away from battery, about 2 or 3mm.

Then, using a spudger under either side, lift the white plastic battery connector up and away from the motherboard.

Ensure that the white battery clip cannot make contact with any other electronics by bending the wires up and out of the way.