No issues. In the 15" the transfer is 2,9 gb/s so 980 pro or evo make sense. The minimum os is high sierra 10.13. yes, you need to upgrade on the stock drive. Just install monteray and than install high sierra or mojave on the mvme if you want to. but the firmware will be the highest.
MacBook Pro (Retina, 15-inch, Early 2013) MacBook Pro (Retina, Mid 2012) MacBook Pro
Here’s how the 15-inch MacBook Pro (2019) performed in our suite of benchmark tests: Cinebench CPU: 3,142 points Graphics: 129.63 fps. Geekbench 4 Single-Core: 5,829; Multi-Core: 30,478. Battery The updated MacBook Pro 13- and the 15-inch would each have up to a claimed 7 hours of battery life, while the 17-inch would keep its 8-hour capacity. [44] [46] Some sources even reported up to eight hours of battery life for the 13- and 15-inch MacBook Pro computers during casual use, [47] while others reported around six hours. [39]

First, figure out which MacBook model you have using Apple > About This Mac. Now head over to a repair resource like iFixit and search for a battery replacement guide for your model, e.g. "macbook pro 2021 16 battery replacement" which should yield a tutorial like iFixit's.

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macbook pro early 2015 battery capacity