sorry for the loaded question... maybe that isn't relevant. the screenshot seems to indicate your downloading the update at 116 KB/s which is extremely slow
installation should be fine. all you had to do was not make a root account, go through the bazzite portal, and reboot (and maybe some secure boot hurdles if you have that enabled on the go)
there's stuff that needs to happen in the background while you do that too, but unsure if that would affect anything like this. pre-installed flatpaks like firefox get installed in the background and stuff like the image being signed happen