Three years ago, Andrew Brunette wasn’t even in coaching. A year ago, he still wasn’t quite sure whether being a head coach was even what he wanted. When he took over as the interim coach of the Florida Panthers in the first month of the 2021-22 NHL season, he took the same wait-and-see approach the Panthers did. It was a big ask to step in for Joel Quenneville and take over the reins of the best team in the NHL — Quenneville, with his three Stanley Cups, was hard to replace and the Panthers still hadn’t lost — and Brunette and Florida were open to the idea he might just be a placeholder until…