I think a geometric rug would look great and would work with the other pieces you have. just a few options

I like the rug you chose. I might look into more colorful options since your other furniture is quite neutral.

IMO the chairs do not work with the table and to then add a geometric is just all wrong. You do realize that there really is no seating at the ends of that table unless it expands those pedestals are a pain to sit at so your feet are on the wood. As for the rug IMO the one you show is a better choice.

Pat's right the chair legs are not right for your trestle table.

What's wrong with the blue rug you showcased? That looks good with your furnishings.

It's easier to darken a leg with some BriWax than lighten a leg.

I like these with your furnishings