After Effects Custom Path Animation

I have a transparent PNG that needs to drift across the screen in Adobe After Effects using object-movement animation. The motion should look like a spontaneous, random path, yet it must follow the specific trajectory I’ve already plotted inside the comp.

You’ll receive the artwork and https://www.creationeffects.com/network

Deliverables:
• Updated .aep with final object movement on my path
• Alpha-channeled QuickTime preview for quick review

If you spot any spots where the motion could flow better, feel free to suggest small tweaks while keeping the overall route intact.