Beautiful, cozy space! Depending on your climate, what about a low profile light/ceiling fan combo? Otherwise I would think any pendant rated for outdoor would work - you definitely need something larger in scale. Lots of pics in Houzz to inspire.

hanging a pendant there will be looming, possible head knocker and or if someone raises their hands they will catch it. I would not do a hanging fixture here. look at your neighbors fan, that is about your max drop on a fixture.

https://www.wayfair.com/lighting/sb0/outdoor-flush-mounts-c416514.html

i would do a flush mount so you can go larger in scale.

I'd look for a flush or semi-flush mount in a much larger size.

Lighting typically will be rated indoor, outdoor, dry, damp and wet. Match the condition and you’ll be safe.

If you are in a mosquito infested area a fan will help keep them away, otherwise I think an outdoor rated pendant would look great!

FWIW, My neighbor hates her new hanging light because it blows in the wind.

Thanks Shari- hadn’t thought of that honestly