Matthew 25 is quite clear..
44 "They also will answer, 'Lord, when did we see you hungry or thirsty or a stranger or needing clothes or sick or in prison, and did not help you?'
45 "He will reply, 'Truly I tell you, whatever you did not do for one of the least of these, you did not do for me.'
46 "Then they will go away to eternal punishment, but the righteous to eternal life."
This is reporting what Jesus actually said.
Do I really need to quote verse after verse, like you, on this matter .. isn't that enough?
You say the eternal punishment is "death" .. what sort of punishment is that?
Who cares if their soul "dies"? So what?
It is not really very different to an atheist who claims we all "die", and there is no such thing as a soul.
Eternal punishment does not have to mean burn forever in fire.
2 Thessalonians 1:9 says punished with -> everlasting destruction.
Remember too that the sheep and goats are illustrative and Not literal sheep and goats.