I would go for something a bit darker. Here are a couple from the Loloi website:

Jute and wool:

Closeup:

Wool pile:

Closeup:

I don't think one should be solid or a complimentary color, just similar in an open space.

Your dining set is very rich and a dark patterned rug would highlight rather than distract from it.

https://www.wayfair.com/Amber-Lewis-x-Loloi--Amber-Lewis-x-Loloi-Morgan-Spice-Lagoon-Area-Rug-feat.-CloudPile-MORGMOG05SQLJ-L167-K~ABEH1103.html?channel=GooglePLA&ireid=222718504&fdid=1817&PiID%5B%5D=74882876&refid=GX22792492500-ABEH1103_74882876&device=c&ptid=&network=x&targetid=&gad_source=1&gad_campaignid=22798361687&gbraid=0AAAAAD9ISC5rYzN73N-lIuPiOcH1lQTI9&gclid=EAIaIQobChMI8_--2va8lAMVtG5_AB09-x4NEAQYCSABEgI9_fD_BwE

For a moody/traditional feel, I’d use a simple green rug with a bit of texture. Combo would feel similar to this.

I need to see the space with the furniture. I actually do not like rugs usually in DRs have you considered that . The DR furniture is quite a statement by itself so maybe no rug . I would not do another rug with a pattern with that furniture so the pale green plain and textured if you must have a rug,

https://www.joonloloi.com/shop/product/amersham-rug?color=Natural_Gold&size=9-6x12-3&utm_term=&utm_campaign=nb_pmax_textiles_tier1_100_q125&utm_source=google&utm_medium=cpc&gad_source=1&gad_campaignid=22238781586&gbraid=0AAAAA9_ulMddgoRCdt1DuBeYT8EOeqG3t&gclid=CjwKCAjw8arQBhB9EiwAfIKdQswRiM2giZgbbdbYA-yTu9xJDs0SltbqSZhAvNfLII69ZKZ__usvZhoC7k4QAvD_BwE

You need a burnished brassy tone. And, it need not be a plain old, plain old pattern. The dark Jacobean dining furiture would look great on this rug. Make sure you size the rug appropriately. Typically an 8 x 10 would work.