Wiring the Auxiliary switch on a 3-way switch
After receiving help, I realized that the switches were just faulty and my wiring is correct. I did also consult with an electrician who also told me that 1 in 4 of these switches can be dead on arrival. In my case, 3 of the 3 were dead.

For some more additional information on the dead switches:


Measuring with a multimeter of traveler wire to ground.

Pressing "off" on auxiliary brings 120V to 95V
Pressing "on" on auxiliary brings 120V to 105V



My guess here that the internal wiring of the primary switch was fried and could not interpret these signals, which was my issue.

I'd 100% recommend turning off the power as if you send a 120V through the traveler wire in any way to the primary or the auxiliary switches, you will absolutely fry these switches.

Buying another one of these pairs and wiring them up properly did the trick.