Epsom Salts are powdered and dissolve in water. Magnesium citrate is a liquid.
A tablespoon of ES usually roto-rooters me efficiently, and one third a bottle of Magnesium citrate it the equal amount.
Or if you cannot keep any of that down you can do a foot soak or a bath soak in Epsom Salts and absorb magnesium that way.
But this will only move the bowels, soften all the muscles.. You will still have to get that bile flowing, jump start the liver.