I have sage greens in my house also. They go real well with Golds. We are still painting so please excuse mess. These are all BM colors. Hallway Flowering Herbs and Guesthouse Here is a picture of a spare bedroom in Twilight Gold (very nice color) Please excuse mess this has been the ketch all room during painting. I plan to make it a guest room or sitting room but for now we just painted it. LR and DR Guesthouse Kitchen and Hallway Flowering Herbs Baby turtle starts over Powder Room and extends to adjoining Family Room Powder Room will be Wilmington Tan which is a great color too but that room is not painted yet. Adjoining Family room Baby Turtle and all ceilings Barely Beige. Woodash is one shade lighter than BB it is very nice too. Hope that helps

I'm not an expert but when choosing paint colors, I prefer contrast. I would get a few samples and paint some spots on the wall to see what works the best with your tile. If the tile leans more towards white I think a soft sage color would be pretty with the elements you've described, but if your tile leans towards a brown, it's hard to say. If you can post pictures, it would really help.

I love grayed greens for walls Seasalt is a nice one from SW. IMO nature uses greens as a neutral alot more often than gray or beige.

I've been looking at high end roofing tile websites and one of them has a color expert that made recommendations for house paint colors with their orange/brown roof tiles. Here is a link to some of the schemes they recommend that may give you some inspiration: https://www.davinciroofscapes.com/blog/exterior-color-schemes-autumn/ You can color match to Sherwin Williams brand paint.