The best pilots I ever interviewed and hired, both small prop operators, and the big French stuff, did not wear a tie or jacket. Shirt, pants, slacks, however still looked executive like. You can look just as professional without a tie/jacket, if you know how to dress. Most don’t know how to dress.
I cannot stress the importance re shoes. Buy a new pair and only wear to interviews. You can polish and clean a used pair xx many times, generally a new pair is the first thing that stood out. I can see filth and uneven shoes without even looking at them.