In the mean time… this is almost exactly what the solder job looks like I pulled it off Google images):
You have a little switch push button that has 4 leads. Remove the battery and put a multimeter in continuity mode across 2 of the leads. Push the button and see if the mutimeter shows continuity. If it does those are your 2 leads. If it doesn’t, try a new set. Remember, you should have continuity ONLY when the button is pushed… and not when the button is not engaged.
Also… the red and black in that pic is NOT positive and negative. Use your white leads from the GD00Z.