Latest Update has got me stuck in an unhappy face loop

Your second log file is blank and the first one is only a Kodi log, so not very helpful in this situation.

Can you provide these two logs ?

paste-log /var/log/apt/term.log
paste-log /var/log/apt/history.log

I suspect I know what your problem is so you could try the following to fix it from ssh: (after providing the above two logs, and please check that you can see the log on the paste site so that we can post-mortem the problem)

sudo dpkg --configure -a
sudo apt-get update
sudo apt-get -f -y dist-upgrade