Disclaimer.
I'm looking at my custom simplified prints for these circuits that I've drawn up from factory 73 and 67 prints.
And they seem the same basically to each other.
You year car probably will be a different switch, but from what I see the principles are the same.
In other words, the wires probably won't match my cars at all at the switch connector.
Your parking (tail/running) lights are fed from a different source than your "brake/turn" lights in normal operation.
I'm speaking of the bulb filaments there.
The brake lights are hot all the time directly off the battery buss .
The turn filament is fed off of your ignition switch via the turn signal flasher and so your turn signals only work when keyed on.
(You may know this already)
But the turn signal fulfillment is fed off of the battery hot buss when you use the "flashers".
That changes the circuit flow
Other than the "flasher" mode, they have independent feeds to your turn signal switch.
My initial thought is that is what he said in post 2.
The grounds at the tail light assembly would be a common item to each bulb.
BUT there are duplicate grounds for each bulb, I would think on all cars.
So that doesn't seem likely unless it's grounds on both side?
Check that.
I'm stumped with the info you have given.
Before you do anything major, if it happens again before you do anything with the brake switch, turn the flashers on.
If that works the flashers, it will point to an connection at the headlight switch and eliminate at least part of the turn signal switch.
I think I've covered it accurately.
I had a lot of "fun" figuring this out
on on a 67.