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Thanks for the pictures, I've never seen the growing tree, just the dried berries.
Many hardwoods can be induced to produce side growth. Hawthorn, as in laid hedges, will reliably produce a shoot the root side of a 'nick' in the bark.
(Competitive hedgelayers will nick laid stems every 9 inches or so, to produce side growth to thicken up the laid hedge).
Do the existing branches grow from where the thorns are, or from where thorns are missing?
Do you have a pic of your plant?