NPN BJT NOR gate to drive LED. Base resistance problem
If I understand your requirements correctly, you can just connect the pin 6/7/8 transistor as an emitter follower instead of common-emitter.







simulate this circuit &ndash; Schematic created using CircuitLab

This will only put ~7-8 V on the anode of the LED, so if you need this LED to be equally bright as the others in your circuit, you may have to adjust the R1 and/or R4 values down a bit.