Their servers are set with a maximum_execution set at 50, not the 300 recommend by TB.
Maybe 300 seconds are recommended somewhere, but the assumption when writing code is just 30 seconds.
Even better, on server OSs other than Windows, these 30 seconds are just processing time, not I/O waiting time. Which means, slow downloads don't require raising these 30 seconds. In my development setup I have set these 30 seconds and a download taking 40 or 50 seconds (slow Github) works just fine. In your case, downloads took just 11 seconds, see the activity log in your screenshot.
That said, downloads aren't the problem. The problem is a) unzipping the release package and b) no error message.
Does this step actually take like 50 seconds? Or does it return much earlier? It's hardly imaginable unzipping a 40 MiB package takes 50 seconds on modern hardware. 1 or 2 seconds are more typical.
Are you running PHP 7.2 by chance? Current version of the module isn't compatible with this (but the next one will be). PHP <= 7.1 should work fine.
P.S.: is it perhaps a disk full issue? Packages and their extractions need like 200 MiB disk space.