Basically I am questioning why the AC would ever want to attack Jerusalem. I don't see anything about that happening, nor any possible need for it if the AC rules from Jerusalem through the entire trib, then takes armies to Armageddon which is 66 miles away from the city the AC was ruling from. Arm is about a war right there and not about a war against Jerusalem.
The answer is in Zechariah 14:2, to take half of the city of Jerusalem as hostage.
The battle that the beast-king will spearhead will be to fight against Jesus and his army of heaven. The beast-king will take his stand (against the Prince of princes, Daniel 8:25) on the temple mount (Daniel 11:45) where he will meet his end.
Convinced by the beast-king, the false prophet, and Satan to fight against Jesus and his army , Armageddon is the gathering place of the kings of the earth armies to prepare for the battle of that great day of God Almighty, Revelation 16:14-16. Gathering and preparing takes time, 45 days.
On the day that Jesus returns, the blood of the armies gathered by the kings of the earth will flow 200 miles (the north-south length of Israel), up to a horse's bridle in some places. As they are destroyed by the angel of Revelation 14:19-20.
Revelation 14:19 And the angel thrust in his sickle into the earth, and gathered the vine of the earth, and cast
it into the great winepress of the wrath of God.
20 And the winepress was trodden
without the city, and blood came out of the winepress,
even unto the horse bridles, by the space of a thousand and six hundred furlongs.
"Without the city" means the areas in Israel beyond Jerusalem. Jerusalem, where the armies of the kings of the earth will surround and take half of the city as hostage (Zechariah 14:2), those armies will be destroyed by Jesus, Revelation 19:17-21.
There on the temple mount, the beast-king and the false prophet will meet their end. Cast into the lake of fire. Revelation 19:20.
Satan, too, will meet his end to be a terror no more, Ezekiel 28:19 All they that know thee among the people shall be astonished at thee:
thou shalt be a terror, and never shalt thou be any more.
