Could you help clarify re battery replacement for MBP 13" Late 2013 (A1502)?

[pullman]

Greetings everyone

I need to replace the battery on my daughter's 13" Late 2013 MBP (A1502) but am confused about which battery will fit the computer.

IFixit Europe Store lists this battery:

Battery Model # A1493
Watt Hours 74.9 Wh
Voltage 11.42 V
Milliamp Hours 6600 mAh

However, the Dutch site Fixje.nl (I'm in the Netherlands) lists two different batteries for the A1502 MBPs. One is called A1493 and is supposedly for the Late 2013–Mid 2014 models (which is the one we have). It has these specs:

71.8 Wh
11.34 V
6330 mAh

The other one is called A1582 and is supposedly for the Early 2015 A1502 MBPs. It has these specs:

74.9 Wh
11.42v
6559 mAh

Will all three fit/work in the Late 2013 MBP specifically? It would obviously be nice with a higher-capacity battery but if there's a risk to the computer I wouldn't wish to install such a battery. I find this confusing because iFixit uses the A1493 part number with specs that more match what Fixje calls A1582.

Thank you very much in advance
Philip

 

[MBAir2010]

This one, and you can ask them to make sure, they know and love older macbooks

i have a MBA2010 battery from them which works perfectly!

added 2 minutes later:
F'me, you don't live in the USA......i will never... neverX10 remember that some humans live in nice Europe
and need things for their macs, as shipping across the pond is more than the price of the item.