If your workflow involves making a lot of connections to HiPerGator you may want to use SSH Multiplexing to avoid having to go through MFA for every connection.
In a nutshell, ssh multiplexing works by creating a TCP socket the first time a connection is made. That socket can be used by subsequent connections within the idle timeout period to create new connections without triggering MFA.
See  for reference.
Example with SSH key authentication that enables SSH multiplexing. Each subsequent connection resets the idle timeout countdown:
Host hpg User albertgator HostName hpg.rc.ufl.edu Port 2222 ForwardAgent yes ControlPath ~/.ssh/cm-%r@%l-%h:%p ControlMaster auto ControlPersist 8h
Port 2222line from the configuration.