Which of these is the stable version of Thunderbird? What are the others? And I've read a bit about Betterbird but what I read is at least 2 years old. Would this be a better choice? Crucial is that I'll be using Proton Bridge.
There are a few different package formats that can be used to distribute software under Linux. All of them have pros & cons and should be used according to your needs.
If you click on any one of these items you will see a drop-down under the install button, that shows the source of the package:
It's not shown in these screenshots, but scroll down a bit and you will see the version of the software. You will notice that the source from Flathub (also called Flatpak package) is much higher, up to the most recent release of the software.
This is simply because Zorin OS inherits a software release model based on freezing package versions once they've been vetted and tested, to ensure system stability.
Flatpak packages work by running a parallel set of libraries and utilities independently from those of the rest of the system, which allow them to run any version (typically the highest).
As I mentioned earlier, which one to install depends on your needs. If you don't need one of the features from the latest versions, I'd recommend installing the version labeled as "Zorin OS - APT". Otherwise, go with Flatpak.
One limitation of Flatpaks is they are isolated from the rest of the file system by default, which can be problematic if you need to integrate it with other applications. You can work around this, however, by granting additional permissions through another application called "Flatseal". I'm not sure if this will be problem for Proton Bridge, unfortunately, maybe someone else might answer this for you.