Calculating Launch Angles for a Projectile With a Constant Wind Force

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I'm trying to find a way to calculate the azimuth (a) and elevation angle (e) to have a projectile with a velocity of magnitude v hit an arbitrary point (P_t) from the origin.

So the velocity vector would be expressed as $$ v \cdot \begin{bmatrix} \cos(a) \cdot \cos(e) \\ \sin(a) \cdot \cos(e) \\ \sin(e) \end{bmatrix} $$

I have a constant x-y acceleration acting on the projectile W in addition to gravity, so the acceleration vector acting on the projectile would be

\begin{bmatrix} W_x \\ W_y \\ g \end{bmatrix}

My intuition was to use the displacement equation in each of the three axes and solve the system, but I'm not sure exactly how to approach solving the system. Is there a way that this can be solved or approximated??