Correlation which is not beyond classical is shaking up a shoebox with a pair of gloves in it, and having two people take the gloves far away from each other to then observe what hand they got. They then understand the hand the other has. There’s one bit of information here corresponding to which hand went to person A.
Entanglement is just this but “more.” You can’t communicate with a pair of gloves. Person A does not know when person B has realized person A knows what glove they have. Just the same, it does not matter who matters which of the two particles in a Bell pair first! Many quantum information theorists don’t even believe the wave function is “real” but just a mathematical tool for making predictions about measurement outcomes.
You should come at entanglement from this angle, because the main difference between the bell test and the pair of gloves is the state of the particles is undetermined before measurement, and the chosen measurements will result in different correlations between the measurement outcomes.