How do you redirect a serial port to output out of the parallel port?
You don’t. If you are wanting to plug something into the serial port and it is the same size as the parallel port (it is not a parallel port. It is a different plug for the serial.) Use an adaptor. You can redirect LPT1 outputs with mode LPT=COM1 but not the other way around. If the laptop or computer has a USB just grab a USB to Serial Adaptor.