Why opt for GA and its possible complications when you can stay completely safe and awake and admire the beauty of painless dentistry? Both -root canal treatments and 3rd molar extractions are almost painless when performed by experts.
Go in for root canal treatments first followed by quick crown preparations with both the teeth for the crowns(post extraction,the sites take a few weeks to heal,during which mouth opening is difficult making it impossible to fabricate caps,which may increase the risk of fragile root canalled teeth to break or crumble ) After that, do the 3 rd molar extractions.You would need stitches mostly after that which would be removed after a week or 10 days, in which time your caps would be ready and can be cemented.
Next Steps
First Root canal and crown preparation, followed by 3rd molar extractions
Health Tips
Antibiotics are a staple post root canals and extractions. Getting done with both in a single sitting would be sensible so that in 1 single course of antibiotics both the issues would be sorted in 1 go, ruling out unnecessary overdose.