I wouldn't use anything that is not recommended. I had 2 copper bottom pan and tried to keep them nice for a while then didn't bother cleaning them, replaced them after a few years.

Use laquer remover, or heat (a heat gun will blister the laquer and you can scrub it off).

Oven cleaner is a caustic chemical that will eat pits in the copper.

Ketchup applied liberally. Let set for 5 minutes. Then just wipe it off. Easy peasy.

Use maas metal cleaner/polish.

It takes a little effort but is easier than brasso and will take off laquer. On a brass fire extinguisher that had old laquer on it, I used maas and used the dremel with the polishing/buffing attachment. Worked great, just took a little time.