I'm going to give my $.02 but keep in mind this is new ground for me so please people feel free to be critical of anything and everything if its unsound thinking.
I don't believe approaching it in this manner is too helpful if your 3bet% figures are coming from datamined stats.
Regarding the preflop:
I believe personal history, and especially recent history, is much more relevant. Your own table image needs to factored into the decision as well as how you've responded to his recent 3-bets.
If you've been folding to them or calling them I don't necessarily like 4-betting, but if you've 4-bet villain several times already, then 4-betting with the intention of calling a shove is great.
Regarding the flop:
So if I got to this point against someone I believe is 3-betting me way too light, and because of all the other factors discussed in preflop I chose to call, I would still probably fold to his c-bet here.
Yes, you can't call preflop with AK and fold every flop you miss. That doesn't mean you intend to jam over his c-bet on every flop either.
I would like at least a flop that's a bit less coordinated, and it's also nice if you have at least a gutshot with your overs or some backdoor possibilities.
One other thing I've noticed recently is that some of these players that love to constantly 3-bet any LP open often shut down when facing resistance unless they have a hand. I think they probably watch a couple of CR videos and decide 3-betting is the cats meow but have no idea what to do when they get played back at.
This is another reason why reads and personal history are more important than datamined stats. You want to make sure your villain is the type that doesn't like to give up on his 3-bet pots without firing at least a c-bet.