Best to have good backup(s) to include Time Machine on external drive;
and do not bother with any more layers of potential issues at this time.
Because some service locations have ideas or rules before replacement
of batteries or other repair services; what they may/not do, should be
a question asked prior to committing the Mac portable, for service.
• Get your Mac ready for service - Apple Support
https://support.apple.com/en-us/HT209095
• Apple Repair and Repair Status Check - Official Apple Support
https://support.apple.com/repair
• Apple - Find Locations (sales, service, repair, AASP, etc)
https://locate.apple.com/