You've got a lot going on in the decor, don't add to the busy-ness with the white and gray plank flooring. It's on it's way out as a style choice and it just adds another layer of things to take in. Also go with a warm color to go with all of the warm colors in the rugs, furniture and decor. The gray and white also look too modern for this setting.

Thank you, I will bring in some samples of warm colors. What material do you suggest?

Match your door trim....which means a natural wood tone like oak, fir or pine. Keep it Simple Sally!

I'm thinking wood flooring for a sunroom is nice

I would match the door color using some sort of wood flooring.

Dark hardwood, tile or LVT installed with adhesive and grout (some LVTs can do this).

Assuming you will be watering plants in there, I would suggest something waterproof like ceramic tile in a stone pattern, slate as mentioned above or an LVT in a stone look. I would prefer the LVT without grout. I really dislike the upkeep of grout.

I'm curious to know why the dark brown ceramic tiles already in place need to be removed? They seem to fit the bill perfectly.

if you water a lot of plants and are worried about water damage, maybe a tile that looks like wood to match your trim?

Tilebar has some nice selections

Refin makes these porcelain tiles that look like inlaid wood. beautiful

Montauk Slate

or Coretec

I love the room but it seems cluttered, maybe it is serving too many functions? I would do slate. I would probably move along the bar to create some open space. Maybe a bar cart if you must?

I'd opt for tile. I'm afraid there will be haphazard tan lines on the wood with all the area rugs and what not on the floor. Terracotta has the warmth or wood. Here's a nice example: