What should I wear to not look like a tourist in Greece?

Greetings, fellow traveler! I'm curious, what's the key to blending in and avoiding that 'tourist' label while exploring the beautiful country of Greece? Do locals tend to favor a certain style of dress? Are there any specific colors or fabrics that I should avoid? I'd love to hear your tips on how to dress comfortably yet respectfully, so that I can truly immerse myself in the rich culture and traditions of this fascinating destination.