Create an animated profile Picture

Making the coin on a vertical access show both sides are revealed is more difficult than spining it with one side always square on, but it is doable.  You'll need to create it on the video timeline, and then convert it to a frame animation to upload to your Gmail profile.    This is not an ideal solution as it does not show the spining object as having any thickness, but I think you would need to use a 3D app to show that effect.  After Efects can do it, but I don't suppose you have that app?

We'd love to see the GIF when you get it done.

There may be a better way to do it, but this is the method I've used a few times and it works well.

https://helpx.adobe.com/photoshop/how-to/make-animated-gif.html