Aces build the pot; kings call. At 1000bb, the second-best starting hand folds to enough pressure — and that is discipline, not weakness.
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.
You opened early and got 3-bet by the player right behind you — the most credible 3-bet in poker. Respect it.
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.