How can I install Budgie on Ubuntu Server 20.04 LTS for Raspberry Pi Model 3 B+?

Yes.

With:

LD_PRELOAD=/lib/aarch64-linux-gnu/libgcc_s.so.1 tilix

tilix starts up and runs perfectly!

Thanks!

Edit to show actual steps I took to fix:

The solution I am currently using is just to disable the default keyboard shortcut for the terminal launcher, and then create a new custom shortcut for [CTRL+ALT+T] using the command

env LD_PRELOAD=/lib/aarch64-linux-gnu/libgcc_s.so.1 tilix

I almost exclusively use the shortcut to launch the terminal, so this ended up working out very well.