No. The C5 (Gen 1) uses different firmware. Do not flash C5C firmware onto a standard C5. You will brick it.
Mimosa_C5c_v2.8.1_build_2021-04-12.bin
It is not the newest firmware, but it is the most reliable firmware. It respects the hardware limitations of the C5C, optimizes the radio core, and provides a "set it and forget it" stability that later versions lack. mimosa c5c firmware 281 download better