I guess it depends on how you define "approximately at the same time," but I see this clearly as a false double foul, for which each foul carries its own penalty.
4.19.9 Situation A
The blocking foul doesn't cause the ball to become dead, but the foul by the offense (a player-control foul) wipes off the shot.
A1 gets two free throws on an empty lane. If the second free throw is made, team B gets a throw-in on the endline. If it's missed, team B gets a designated-spot throw-in nearest the spot of the player-control foul.
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