Replaced with battery from iFixit. Remains to see if capacity improved. Volume down button did not work after the replacement. Upon further inspection, I found a dislocated resistor on my desk while cleaning up. Sad days.
Opened the sim tray with a 0.1” pin header. Opened back cover clips with the back lever of a pair of nail clippers. Removed battery by heating it with a soldering station heat gun on the lowest setting for a few seconds, then prying it up starting under the flex cable. Experienced the “terrifying crack” mentioned by another commentor.