The deepest, most common steal war ends the same way: aces raise, everything else calls with position and discipline.
4-bet almost nothing but aces. Even KK often prefers a call — building a 1000bb pot preflop with one pair is a strategy of despair.
The big blind 3-bets your button open instead of taking the discount — a move that announces a real hand or a real plan.
Assumes a standard 3-bet; 4-bet to ~2.2–2.5x the 3-bet. Deep, favor calls over 4-bets — a 4-bet pot at 500bb+ commits you with range disadvantage.