Do not remove the battery connector. The chance of damaging the connector is quite substantial. Better leave it in place and be a little more careful when further disassembling the controller
Check the position of the plastic latch button when putting it back in place. There is a small notch which must fall into a small opening.
Keep these two Philips screws separate. The screws are approximately 0.5mm shorter in length. When using one or two of the other longer screws in the battery compartment when reassembling, the lid will not open because the screw(s) do yam the lid button.
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