3-bet pre, call the 4-bet.
Not 3-betting in particular is insane results-oriented "I just want to avoid the 'tough' spot I'm in" nittery.
4-bet call is roughly breakeven against AA-only that autostacks, but SB is for sure wider than AA-only.
I know a lot of people are familiar with 3.5 bb -> 12 -> 37.5 4-bet calcs at 100 bb, so intuitively this might look like a fold against AA-only, but this is 3 -> 9 -> 27. Plus the aforementioned 'wider than AA-only' thing.