Brake Light Switch or Turn Signal Switch?

Its been a while and I've finally got my Dart back (moved and had it in storage). Time to revisit this problem.

I spent some time today playing with the wiring. Again, I'm not savvy on electrical but will describe what I've got so far.

I do have 12 volt to the pink wire on the brake switch. I ran a jumper wire between the pink and white to bypass the switch (my idea of testing if the switch was the problem) but did not show brake lights on when I did this.

When I took the wheel off and started analyzing the turn signal switch I figured out if I jumper between the red and white terminations from the left side (turn signal, not four-way switch) of the circuit, I get tail or brake lights. I'm not sure which is which. The red wire is 12 volts with the key on, but dead if off which I think it appropriate.

The pink wire on the right side is always 12 volt.

From the brake light switch, am I understanding correctly that the white wire goes up to the turn signal switch? If this is this case, is there really no way to rule out/ bypass the turn signal switch in the column to see if the brake lights work at all?

I'll ask in advance for your patience. Thanks for any additional feedback and I appreciate tips on how to rule out one issue and move to the next possible cause.