My Apple chip Mac mini won’t start after recent update

What year model is your Mac mini?

see > Identify your Mac mini model - Apple Support

I ask because a M1 Mac mini can not run Mojave, it can only run Monterey or Ventura.

What comes up on the screen when you startup?

see > If your Mac doesn't start up all the way - Apple Support

You’re welcome.

Glad to hear that it was the old display or adapter and not the Mac mini.