IMO you have quite enough teal in that space

Paint the entire table the white of your woodwork, in high gloss. Paint the chairs in a light green and anchor the pieces with a rug. Just a simple indoor/outdoor sisal look will work well with your floors.

Do you plan to put a rug under the table and chairs? I think if you had a rug, that would help break up the wood and you may not feel as inclined to paint.

Some configuration of black and white, I think.