Actually, there are at least 4 production lines for the 4680 batteries operating at this time in Austin. Yields are unknown, as is volume, but they are making them.The 4680 Austin production area is inside the main building on the north end, but is still unfinished, but hardware being placed for near-future assembly. Meanwhile, the cathode building to the north-east of the main building looks about half done. Tesla is planning for lots and lots of battery production there as well, if only sub-assembly of supply. By the end of Q1 2023 much of the machinery will be in place to make this all happen. The cars are ramping; the battery production will need to also slowly ramp.
4680 production is also proceeding at the Kato Road facility in Fremont. Again, yield and volume info is sparse.
Tesla is very tight with information and runs a Master Class in Internet Marketing, seemingly responsive and proactive. But only what they want gets out.
Compete battery packs were coming in from Kato Road Fremont facility earlier but that seems to have ended. No more trailers full of battery packs.
What they have on hand for 4680 packs at Austin now seems to mostly be local production, being stored on 3rd floor of the General Assembly area, which is adjacent to the battery section. They have 4-unit high stacks of both 4680 and 2170 packs visible thru the windows in videos. Probably visible deliberately.
The Cathode Plant exterior is mostly complete but fitting out the facility remains at best 1/4 done. If the main plant is any guide, they're 3 months from working. According to Tegtmeyer, they're expecting initial shipments of Lithium Spodumene in early Q1 for processing at the new plant.