As a Christian you are compelled to believe in both.
I disagree. The Gospel is about heaven. It is the good news. It is salvation from the wages of sin as discussed all over the old and new testament, beginning with Genesis 3.
As a Christian I believe the Gospel is about the testamony of my Lord and Saviour, Jesus the Christ, who Gave his live that I may live eternally in his presence and have been saved from the second death. And that salvation began when I accepted his free gift and I was born of the spirit. This is something missing from the lost. They do not have an eternal spirit. hey SHOULD fear him that can kill BOTH body AND SOUL in Gehenna.
You need a good course in linguistics and Biblical syntax.
You are leading people astray with false teaching by saying that evil people’s souls simply disappear.
How is that eternal punishment?
Again, go start a new Mormon or JW cult on your own thread.