NL25 - AA versus 4bet preflop 200bb deep

What would you do here versus 24/4 guy, hands 45 so no real sample size.

1) was my 3bet preflop too small?

2) Should I just flat his 4bet or mini 5 bet or jam?

In 100bb I would just jam but here I got confused cause I still got so much left behind.

SB: $28.72 (114.9 bb)
BB: $25 (100 bb)
UTG+1: $34.33 (137.3 bb)
UTG+2: $26.02 (104.1 bb)
MP1: $48.84 (195.4 bb)
MP2: $48.58 (194.3 bb)
MP3: $13.41 (53.6 bb)
Hero (CO): $61.18 (244.7 bb)
BTN: $25.34 (101.4 bb)

Preflop: Hero is CO with A

A

2 folds, MP1 raises to $1, MP2 folds, MP3 calls $1, Hero raises to $4, 3 folds, MP1 raises to $10.75, MP3 folds, Hero?