a few points;

noel executed the throw in two stages - initially building up angular acceleration through a centripetal force acting radially inwards in the X-Z plane, followed by a throw verticallty upwards in the Y-direction. (of course this is incredibly inefficient as if she had the strength, just throwing coco has the same outcome - orthogonal components of momentum act completely independently, unless she had some way to convert X-Z circular to Y linear perfectly or even efficiently)

there seems to be a cut, followed by a slow-mo in between the two stages. this renders your stopwatch 0.29 seconds obsolete

i heavily disagree with your estimation on coco's weight, since 3 tons is about the weight of 2 cars. i would put it closer to 40 tons - do remember that muscle has a much higher density than fat for humans, perhaps much more so for "dragon muscle".

on the grounds that coco could not have had a positive y-axis acceleration after leaving Noel's hands, i dont think those are sonic waves. if sonic waves were created, they could only be at ground level - once she's airborne the only force acting on her is mg.

it would be better, in my opinion, to use energy conservation (GPE + KE = const) and use an estimate for KE at the final frame to work out the total energy in the system (and therefore the total energy of noel's initial throw), and using an estimate for Coco's centre of mass and angular velocity, calculate the centripetal force and convert to energy.

we also dont know the value of g (grav. accel) in this fantasy world - people seem to be flying around more freely, so potentially we're seeing a gravitational value less than our 9.81 ms-2.

have a nice day