Brake light switch or TCC lockup.
Can order from ROCK AUTO.com or maybe LMC.com
When my TC wouldnt lock up, I went thru some steps to diagnose it. First thing was to hook up a lil LED idiot light to the 12v wire going to the trans, this let me know that the electrical was working. I had first worried it was the solenoid in the trans that went bad.
I ended up replacing the part under the dash that you pointed out, I also replaced the small lil vacuum thingy on the firewall. It has vacuum line in one side and electrical on the otherside. This is what was bad on my truck.
I just went to rockauto.com. here is the part that is on the firewall that went bad on my truck.
ACDELCO # 212331