Just like Jesus militated (katargeō) Satan’s authority on the cross (i.e., Satan was not immediately destroyed), Jesus will militate (katargeō) Antichrist’s authority at the beginning of the day of the Lord, and then later destroy him at Armageddon.
Many interpreters construe 2 Thess 2:8 as some punctiliar event as if in the first second Jesus returns in the sky, the Antichrist is destroyed, and all is summed up in that moment. That is not Paul’s meaning.
The Parousia (and no student of prophecy will ever understand the second coming until they understand this point) is an extended event, just like Jesus’s First Parousia.
When Jesus returns, he will be glorified through his complex, extended judgment events.
Don’t rob Jesus of his glory by making his judgment against the Antichrist and his kingdom some split-moment event when Jesus arrives in the sky (even the fifth trumpet will take 5 months).
Paul’s purpose in 2 Thess 2:8 is not to give us this extended timeline (see Revelation for that).
Instead, he explains who will bring about the end of the man of lawlessness: Jesus during his Parousia, the event that begins with his appearance and culminates in his kingdom.