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Sorry linked the wrong video, here it the link to the embossing Gold Foil.

Notice how much embossing powder (Glue) is used, the stamp ink is only used to hold the powder in place until you heat...

Not if you use the embossing powder, just apply sizing, powder then the foil. Burnish with a finger and remove the excess.

In the video they use ink in place of sizing.

Great question, I have thought about that myself. I though of painting on sizing and applying gold leaf, but apparently, Gold Foil is the way to go.

There are videos of bookbinders stamping gold...