MQTT in OH3.2 cannot get it running

Just a note on this: you’re not installing a broker in this step - you’re setting up a bridge from OH3 to your external MQTT broker so that the two can talk to each other.

And as @rossko57 says, install the one which does not have System in the name.

See this post for the basics, written before the change to Mosquitto v2 on vanilla Raspberry Pi OS (not openhabian):