No matter which route or what season you are walking, the rule is to go with several thin layers rather than fewer thick ones. You will need clothes for a significant range in possible weather. Just pile them all on when it is cold, and peel them off when it is warm. Be sure to have a top and bottom layer (and socks) that is kept dry for the evenings.
Gloves, hat and buff also provide good warmth and flexibility - start out in the morning with them on, if necessary, and simply remove them as appropriate while you walk.
So, a "normal" walking outfit, plus another thin layer to add (or insert) walking in cooler weather (remember that you generate heat as you walk), plus rain protection that can also keep you warm if an unusual cold spell hits you. That, plus your evening outfit and a down jacket or vest for chilly evenings, will cover most conditions you might expect. Take some lightweight long johns (base layer) if you want.
That combination should serve for three seasons on any Camino.