What type of drill bit do I get to drill a drain hole in clay/ceramic?
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This article should be helpful https://ceramicartsnetwork.org/ceramics-monthly/pottery-making-techniques/handbuilding-techniques/tips-tools-drilling-fired-ceramic/
I would use a masonry bit on the clay and a glass & tile on the ceramic. Also lay a piece of tape where you want to drill. Helps to stop any chipping.
A quality masonry bit.