I like your pergola!
I wanted to share these ideas (search small patio ideas for others):
https://www.drivenbydecor.com/simple-outdoor-decorating-ideas/
https://www.mydomaine.com/small-patio-ideas-5095817
https://www.bhg.com/home-improvement/porch/outdoor-rooms/cheap-backyard-ideas/
https://www.houzz.com/photos/small-patio-ideas-phbr1-bp~t_725~a_30-231
Even with your other seating area, maybe you could still use a couple of comfy chairs and side table? My patio is a similar set up as yours and we have two large rattan armchairs, a table in between, a rug, lots of potted plants, lights, and a potting bench. It’s really nice sitting there.
Not sure if you like hot tubs, but it sure would be a perfect spot for one. :)
For entertaining, maybe some sort of outdoor game area?
https://www.countryliving.com/entertaining/g2477/outdoor-games-to-make-this-summer/
Other styles of seating:
I’m an avid gardener, so I’d be filling the area with plants and more plants. Potting bench, somewhere to sit, plant stands, etc. :)
Q