Can I put in GS6 Active's battery in a normal GS6? Will it work?

Hello my name is Cris,

I got a second hand S6 and the bettery is draining suspiciously fast.

I was considering the idea of buying and putting the battery of a Galaxy S6 Active into this Galaxy S6. The spec and sizes of the batteries are the following:

S6A capacity 3500 mAh / 13.48Wh volts: 3.85VDC size: 92 x42x5(mm) (long/wide/thick)

S6 capacity 2550 mAh / 9.82Wh volts: 3.85VDC size: 96 x 45 x 4 (mm)

So the battery from the S6 Active is shorter by 4 mm, narrower by 3mm and thicker by 1mm.

Image of batteries: https://imgur.com/a/Rfvn96M

What do you think? Would it work and last longer? Has this been done by anybody? I googled a lot but dont find any content about this.

Thank you