“Hell and everyone in it is ultimately thrown into the lake of fire and destroyed.”
Those who are punished in the lake of fire are never utterly destroyed, but are perpetually tormented day and night:
Rev 14:11 And the smoke of their torment ascendeth up for ever and ever: and they have no rest day nor night, who worship the beast and his image, and whosoever receiveth the mark of his name.
rev 14 9-11 A third angel followed them and said in a loud voice: “If anyone worships the beast and his image and receives his mark on the forehead or on the hand, he, too, will drink of the wine of God’s fury, which has been poured full strength into the cup of his wrath. He will be tormented with burning sulfur in the presence of the holy angels and of the Lamb. And the smoke of their torment rises for ever and ever. There is no rest day or night for those who worship the beast and his image, or for anyone who receives the mark of his name.”
This is specifically a judgment on those who took the mark of the beast and worshipped him
What needs to be understood is meaning of aionios, the word generally translated as ‘eternal’. It is now recognized that this word may have both a qualitative and a quantitative aspect - thus ‘the age to come’ is a possible phrase to describe the concept