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INSIDE those OLD pinball machines
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No. Modern FPGAs do not use any UV light or have any windows. For storage they use flash memory (same as what's used in MicroSD cards, USB sticks and SSDs). Some (most?) require you to provide this yourself externally.
Old EPROM (not EEPROM) storage had windows and needed UV to erase, but that's decades old. I'm not sure if FPGA was common nomenclature back then (PAL/GAL/CPLD were probably the market).