macos – error message and [Process completed] as soon as I open the terminal MAC OS Monterrey 12.5.1

Some rust (cargo) binary looks like it’s been added to your shell startup script and is causing it to fail on startup.

I would try navigating to your $HOME folder (using Finder) and then turn on Hidden files (Cmd+Shift+.)

Look for .bash_profile or .zshrc and try moving them temporarily to your Desktop. Then try running Terminal again. If it works, just examine the profile/rc file and look for the troublesome bit to remove.