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Correct. When a double violation occurs on a free throw, the ball becomes dead, no point can be scored, and the game is resumed by either administering any remaining FTs or going to the AP arrow.
Here is the clip from the rules book in which I've highlighted what applies to your question in red.
(These are penalty articles 3 & 4 for Rule 9, Section 1.)
3. If there is a simultaneous violation by each team, the ball becomes dead and no point can be scored. Remaining free throws are administered or play is resumed by the team entitled to the alternating-possession throw-in from the designated out-of-bounds spot nearest to where the simultaneous violation occurred.
4. If there is a violation first by the free-thrower's opponent followed by the free thrower or a teammate:
a. If both offenders are in a marked lane-space, the second violation is ignored, as in penalty item (2).
b. If the second violation is by the free thrower or a teammate behind the free-throw line extended and the three-point line, both violations are penalized, as in penalty item (3).
c. If a violation by the free thrower follows disconcertion by an opponent, a substitute free throw shall be awarded.
d. If a fake by an opponent causes the free thrower or a teammate of the free thrower to violate, only the fake is penalized.
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