Sorry the confusion!
It just turned out to be a coincidence that the battery failed just as I installed Wireshark. For future readers, the comments are absolutely correct. A Windows driver cannot be the cause of a hardware/BIOS failure, and Windows safe mode can be used in a situation where a malfunctioning driver is preventing the OS from starting.
For anyone in a similar situation, do what @patkim said and drain residual power from the system and perform the standard procedure recommended by your computer’s manufacturer.
