When I did my Towers, I had a couple of tough connectors. I used needle nose pliers to wiggle it back and forth (meaning side to side) and then to pull it off. On one, I also applied a bit of pressure with these pliers on the sides to help loosen.

I also used these to compress a couple of connectors when reassembling as they were too loose on the new drivers.

I didn’t have one, but maybe a very fine pick (likely l-shaped) to insert at the top of the connector between it and the spade to break loose