I looked again at the amazon pinout page
I would only have black to ground, purple and white to tx and rx ( or try reversed tx and rx reversed)
Leave the red wire off
Power the M2 off its own supply
Put your switch to 3V level for the ttl
Also if you are trying this inside the module will not output anything till its at least in float.
Ensure nmea router is in stop when you change settings for them to stick.