Kinda the same here.
We fill all the voids in a series of steps, so as not to have a large clump of putty in there. We use Elmer's wood putty. Doesn't matter if its water based or not. Once it's completely dried, then we use our thumb and go up and down the entire edge with more putty on it. Let this thoroughly dry. Sand it and tack it. Make sure it's good and clean.
Whatever you use first... whether it be prime or top coat, give the top two sides and all the edges a coat. A very thin coat. Almost like you're gonna push the roller through the surface to the other side. Let dry completely. Sand and tack again. Repeat the coating of all six surfaces. Let it dry completely and give it one last sanding and tack it off.
Now, you give it another coat all around, but go slower and then in about 10 or 15 minutes... give it another rolling dry with the paint in the roller from before and go real slow, knocking out almost all of the bubbles.
You'll have a glass looking finish and the edges should last for a very long time. Doing it this way, you won't see any of the plies along the edges, it will look totally flat.