Don't miss understand this two things engagement and babtism, engagement is a proposal Done by spouse it all entire different occasion so do not be confused about it.
There is nothing concerning engagement and babtism, engagement is a physical thing done to propose to once spouse, but babtism is a spiritual thing that requires spirituality it is the babtism with water and it's done by christians.
There is no place it is written that engagement is needed before baptism, not even in the word of God, it is a two clear different things even if you don't get engaged you can still be baptized engagement is not even a must or a compulsory thing, but babtism is a compulsory thing that must be done before you make heaven.
So don't follow people that misunderstands things and that are ignorant of things, that doesn't have wisdom enough to know which is which and don't allow people confuse you and change your mind from the truth.