Sketch uses 924 bytes (3%) of program storage space. Maximum is 30720 bytes.
Global variables use 9 bytes (0%) of dynamic memory, leaving 2039 bytes for local variables. Maximum is 2048 bytes.
avrdude: stk500_recv(): programmer is not responding
avrdude: stk500_getsync() attempt 1 of 10: not in sync: resp=0xc8
avrdude: stk500_recv(): programmer is not responding
avrdude: stk500_getsync() attempt 2 of 10: not in sync: resp=0xc8
avrdude: stk500_recv(): programmer is not responding
avrdude: stk500_getsync() attempt 3 of 10: not in sync: resp=0xc8
avrdude: stk500_recv(): programmer is not responding
avrdude: stk500_getsync() attempt 4 of 10: not in sync: resp=0xc8
avrdude: stk500_recv(): programmer is not responding
avrdude: stk500_getsync() attempt 5 of 10: not in sync: resp=0xc8
avrdude: stk500_recv(): programmer is not responding
avrdude: stk500_getsync() attempt 6 of 10: not in sync: resp=0xc8
avrdude: stk500_recv(): programmer is not responding
avrdude: stk500_getsync() attempt 7 of 10: not in sync: resp=0xc8
avrdude: stk500_recv(): programmer is not responding
avrdude: stk500_getsync() attempt 8 of 10: not in sync: resp=0xc8
avrdude: stk500_recv(): programmer is not responding
avrdude: stk500_getsync() attempt 9 of 10: not in sync: resp=0xc8
avrdude: stk500_recv(): programmer is not responding
avrdude: stk500_getsync() attempt 10 of 10: not in sync: resp=0xc8
Failed uploading: uploading error: exit status 1
If you mean the second LED from the top in your photo, and the blinking occurs regularly as you try to upload code to the board, this means that at least you're getting some data across through the USB-UART interface.
Has this Nano worked before?
If you have an ISP programmer (USBASP or a second Arduino board you can use as ISP programmer), you could try re-programming the Nano using that approach. Perhaps reprogramming the bootloader will help.
The rapid blinking is the MCU looking for data to upload... if the MCU sees no data to upload (maybe due to bad connection), it starts running whatever is in memory.
This would be the code stored in the MCU. If the "L" LED is blinking, that is probably the "blink" sketch. If the TX (there is no PX) is blinking, that is probably a "Hello, World!" printing to the Serial Monitor.
Verify...
IDE >> TOOLS >> PORT >> your port
IDE >> TOOLS >> BOARD >> ARDUINO AVR BOARD >> your board
The Device Manager looks like you have a non-CH340 USB.
Also verify your USB cable is a DATA cable and NOT a power/charging cable.
This is probably the wrong choice. Choose the other.