Is it as long as i latch, regardless of supply, baby will manage to drink any amount of milk?

Yes in a way. Establishing milk is a demand and supply thingy. Baby's latch is more powerful than a pump. If u can, latch baby on demand and you won't feel engorged usually. Baby's suck is the most powerful tool u will have. U r a happy mummy so will baby. Keep up the good job of breastfeeding.