Battery replacement 15-dw3021nia S/N CND04651YZ

I found 2 models HT03XL which is the original replacement of my battery, and also an exact similar model TF03XL. the later seemed to be with higher voltage 11.55v, higher capacity, and 33% cheaper above that... looks like a battery with more advanced cells, and I want it instead of my same old battery, but I am not sure if it is compatible. on HP site there was a couple BIOS updates to support new battery models, but they didn't list what are these new models. is this battery TF03XL compatible with my laptop?