I finally found my brother’s email in my spam folder. Codes are in his third paragraph.
"My car is a 2005 Pontiac GTO. 6.0l, LS2, V8, 400hp, 400 lb torque, Fuel Injection, Automatic 4 SPD Electronic Trans (but internet search found problem with someone who had a stick), RWD. (Someone said parts for a LS3 version engine would work too.)
The problem that occurred once: car shaking upon start-up, computer says “Safe Mode” - “Reduced Power”.
The error code my mechanic got is P-2135, which corresponds to the TB part. He also got error codes P-2176 (not sure what that covers) and P-0042 (which is for the oil regulator and I had him replace it).
My mechanic says the GM part number for the TB is 194-200-34, but I could not find that number in my internet searches (unlike the error codes that I found).
I found two people on the internet with the same problem and they said they think it is one or more of 3 problems: (1) TB, (2) TB pigtail connector wiring, and (3) pedal sensor switch. My mechanic said (3) is fine, so I think the problem is (1) and/or (2). Mechanic cleaned wires and connection and I had no error code on Thursday. I will drive it tomorrow to see what happens.
Internet said AC Delco, GM approved, part number 12570790 is the right TB part, but multiple websites say 'Not Available’.
Amazon, Rock Auto, Summit, and other websites carry multiple TB parts, but I cannot be sure if the part would fit my engine, and even if it does, whether the part maker is reputable. Prices are all over the place from $110 (Rock Auto) to $1,200, most prices from $300-$600. The $100 Rock Auto TB part says it will fit my car, but I don’t really know if it really will.
If I find the right TB part, I guess I might also might need some auxiliary parts - Fuel Injection (FI) TB seal?, FI Rail Bolt?, FI Rail Stop? FI + Insulator Retainer Kit?, FI O-Ring Kit?, Fuel Pressure Relief Valve Cap?, Multi-Port FI Kit? Rail? Bracket? The good news is that all these auxiliary parts seem available on AC Delco GM Part webpage"