Had a look at the diagram and I think you need to replace at least the Power Xtender going to the RGB dies with an high power MOSFET.
I guess at full power the 3 colors will drain around 3A from the battery and the specifications for the Power Xtender report 12V/1.5A.
Probably mixing the colors you will not reach the 3A limit, but you will most likely have a steady current around 2A running through the LEDs and I bet the Power Xtender won't last very long.
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