If there is direct flame nearby, I would not recommend any polymeric material be used. There are some cyclic olefin polymers that will take 160 degrees C in service and some are flame retardant but none of them are rated for, or will stay clear, if exposed to flame. PTFE is opaque by the way, not clear/transparent.
Ordinary tempered glass as used in gas and wood fireplace doors would be my recommendation for use near direct flame, as it will take quite a lot of heat and will withstand rapid cooling from high heat as well, in case someone opens a door and lets a cold draught in. This material has to be cut before tempering. It will shatter if attempting a cut after tempering. Best thing to do would be to find pre-cut and tempered pieces the right size. It is usually not expensive.
Pyrex glass would also be excellent but it is much more expensive usually.
You may be able to find round gauge face glasses in Pyrex or tempered glass. If not, is there room to mount a square or rectangular glass piece in front of or behind the 60 mm opening, in a sheetmetal holding frame?
Glass will be much more durable than mica or composite mica board.
Just food for thought.
Edited By Jeff Dayman on 06/01/2021 16:44:15