MBP Stopped Charging, No Mag Light

Just today, our MacBook Pro (15” Early 2013) stopped charging. I have tried two Apple Magsafe 2 power supplies with the same result. Neither lights up on the power supply connector, and there is no charging indication for the battery in MacOS.

For the last year or so, the battery has reported “Service Soon” or something similar. It doesn’t last long and is probably on it’s last leg.

Is the charging issue related to the battery or is this associated with internal electrical hardware?

Is the logic board responsible for the Magsafe operation and battery charging, or is there another electrical assembly that does this? I’m wondering what should be replaced - logic board, battery, or something else?

Below is an screenshot from coconutBattery.