So, I forked your project and downloaded your Peel-7.fbx model.
Apparently the Morph/blend-shape animations aren’t getting uploaded to PlayCanvas. There was talk that this feature would be implemented in the engine over a year ago, but it obviously isn’t yet.
My advice, after looking at your model, would be to skin the model to a skeleton and perform your animation via a skeletal mesh. Will work, but is a bit time-consuming.