IMAS 2018–2019 Junior — Round 2 Question 8

In the figure below, $ABCD$ is a square and the point $G$ lies on the side $CD$. Now, flip triangle $BCG$ along $BG$ to get a new triangle $BEG$. If $\angle CBG=32^\circ$, then what is the size, in degrees, of $\angle DAE$?