Bush also failed when he let the Turks block the 4th ID, which gave Saddam and many terrorists an escape route to the north. Finally, after briefly resting, regrouping, repairing, and reloading, the military should have right wheeled straight for Tehran---the Iranians were terrified at the time that they were next, now not so much.
All of this was authorized under Congress' GWOT resolution, but Bush and Rumsfeld lost their nerve at critical moments during the campaign and ended up in the old nation building trap he had long criticized himself, with a full blown "dead end" insurgency on his hands, backed by Al Qaeda in the north and the Iranians in the south.