XPS 13-9360, BIOS updated, freezes when using TB16 dock

I purchased the XPS 13 with Ubuntu preinstalled a year and a half ago. With that, I got a TB16 dock that I've been using to run two external monitors. It's worked just fine.

This morning I updated the BIOS firmware from 2.9.0 to 2.10.0

After the installation completed, the Ubuntu loading screen displayed and right before the login screen would appear, I just got the black background and a mouse cursor. The machine didn't respond to mouse, keyboard or remote SSH attempts. I unplugged the machine from the dock and USB headphones and hard rebooted.

It restarted fine. I plugged in the headphones without an issue. I plugged in the docking station and a few seconds later, got a black screen and no response to anything.

At this point, I decided to downgrade back to 2.9.0 using [these instructions](https://www.dell.com/support/article/us/en/19/sln171755/updating-the-dell-bios-in-linux-and-ubuntu-e...) from Dell. Unfortunately, the exact same symptoms occur - if the dock is plugged in, the machine is entirely non-responsive.

How can I troubleshoot this problem? I need the use of the external monitors. Without the dock, the machine is behaving fine.

This was working fine until I decided to update BIOS to 2.10.0 and now it doesn't work at all. I originally posted this over [here](https://www.dell.com/community/XPS/XPS-13-9360-BIOS-updated-freezes-when-using-TB16-dock/m-p/7197326#M24220) but was told the Linux subforum may be more helpful.