That is the most difficult combination. You have to go warm. You will be hard pressed to put a gray with bronze and beige(pink or green beige?)and gray, unless you might find something in the terracotta family....like clay pots. You will have to work some tone of soft red, gold, green, ivory into your interior ....and I Hope your Gray is in the green family, not the cold silver/white...........if your beige is leaning green? That barnwood looking tile may not be an asset to your bronze doors, it just doesn't seem like it would, so look at it again maybe?

ivory

Congratulations! are you in Arizona? if you are in need of artwork i can help you in that department. i specialize in custom work but also have some inventory here, maybe take a look for color inspiration: https://www.etsy.com/shop/HollyAndersonFineArt?ref=l2-shopheader-name