How would you light this?

I once had a client who manufactured large stainless steel ovens. I'm having flashbacks! :)

Yes this project is screaming for multiple exposures and exposure blending. You need to make sure you have at least one exposure that doesn't have clipped whites. It's even possible to use the existing uplighting with the right blending. (Unless this photo was created by someone else and those lights aren't actually installed)

If I had to stage this I'd break it down to:
1. Under-tank lighting
2. Tank lighting
3. Background and Environment (includes ceiling)

I'd allow at east two hours to shoot this if you don't have lots of lights. Build and control on the three color temperatures you have. If that is a window on the right you'll need to bring some black cloth to knock that down.

It's going to be a fun shoot that could be a portfolio piece when you're done. Good luck!

Why light it at all? Bracket exposures, blend, and color correct the light casts in post. It shouldn't be terrible difficult given that nearly every surface is a neutral color.

Unless there's a very specific reason you WANT to use lighting, I don't see a practical need for it.