Hello,
All the lamps are in series, Christmas tree lights used to be made this way, therefore if one failed they all went out, all you need to do is put a shorting link across the one you have removed and place your new one somewhere else. In the beginning of the circuit would be simplest. There is the issue of the new lamp giving off heat, attach it to the strip with a dab of heat sink paste, I suppose if the set is your own you could always bridge the lamp but lower the backlight settings in the menu. But not recommended if it's a customers set. I don't know if you are in the UK or not but full strips can be bought cheaply. In any event I suggest you reduce the backlight settings anyway. The leds lead a hard life anyway. Good luck with it.
Tony