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Second generation ceramic HTS is deposited in thin films on to flexible tapes:

https://www.superpower-inc.com/Technology.aspx

(scroll down for image of tape bending):

https://www.fujikura.co.jp/eng/newsrelease/products/2061942_...

Yes, it is a ceramic, but you CAN make cables out of it. Commonwealth Fusion Systems did, SuperOx sells them (they have deployed references), etc.

Stranded wire, yes. Rigid wire is possible. Think about it like iron plumbing or rigid electrical conduit.

I feel like we're just describing a narrow bus bar.

Isn't that approximately a wire?

Bars are a good guess, but the 3rd dimension should not matter. We could manufacture thin tile as the conductor, and PCB design would be done with superconducting Lego bricks.

Among other things, critical current in bulk ceramic superconductors depends on cross-sectional area, so while it seems reasonable to make a ribbon-like structure, the 3rd dimension does matter. You can't make it effectively 2D.