Adding lime juice to green curry paste and heating

I am trying this recipe which requires preparation of a green curry paste with lime juice as one of the ingredients. Once the paste is prepared, I add it to a pan with hot oil (after which I add coconut milk to the paste)

My doubt is - is it a good idea to add lime juice to a hot mixture because the heat probably destroys the vitamins in it? Or is it better to add lime juice later towards the completion of the preparation of the dish?