Of course they just take the SSD out and update its firmware using another computer that is equipped for that. The answer of Dan about soldering is just incorrect.

Here is the correect answer. When moist, such as ink, creates a short circuit between two contact points in the printhead of the ribbon cable that connects it to the main board, then a small fuse on the mainboard blows. The error code the printer gives is 031006. The fuse on the mainboard is marked with F1 or F301 or something similiar. It is small!! I can’t tell you where it’s located as that is different for every different mainboard version. Are you confident with a screwdriver and a soldering iron? Then you can do this and save yourself a $100 new mainboard. Take the covers off your printer, disconnect all cables off the mainboard, take the mainboard out, spot fuse F301 or similar and measure its continuity with a multimeter. If the meter does not beep: bingo. Replace the fuse, assemble everything, your printer works again. If you found the fuse to be properly working, then don’t touch it and check all ribbon cable connections and clean all contact points between printhead and mainboard instead....