MK111 and 2 Circuits on NO different voltages

Hi All,
I am not sure its possible but would like to know if a second circuit can be added to NO with a different Self powering battery.
So on NC I have a single LED 12V power supply.
NO I currently have a LED Flashing circuit with 12v Power supply. These work fine and as expected.
Is it possible to have another 3.3v circuit connected to the NO terminal or do I need to DPDT Relay to have the 2 voltage circuits on different switches?
Ideally I just need the NO to trigger a Momentary push circuit on the 3.3v Circuit.

Thanks.