Yeah , the way it worked is using below
esptool.exe -p COM10 erase_flash
esptool.exe -p COM10 write_flash 0x0 C3_bootloader.bin
esptool.exe -p COM10 write_flash 0x8000 C3_partitions.bin
esptool.exe -p COM10 write_flash 0x010000 6_may_lolin_c3_mini_T2.bin
The bins we tested with ,bootloader and partitions are linked here Discord .