Is it safe to drink an amino energy supplement while breastfeeding my 10.5 month old?

See below: I can't say for sure as I don't know if what's in the drink is excreted in breast milk, but I would hold off. There's no need in chancing anything and but your baby at risk.

Yes it is OK: Nutritional supplements with protein products are harmless. But you may not need it if you eat a healthy nutritious diet containing a balance of carbs, proteins and low fat plant based-diets.

Probably: However, if you're in doubt , better defer the supplement until done with the breastfeeding. You might not find a clear cut answer, as is the case for most food supplements. A good source of information on drugs and breastfeeding: Lactmed, you can check it, but you need to know the exact active ingredient of the supplement you want to take, wish you and your child wellness