bobhenry wrote:Think I may have figured out the 3 rd brake light .......

I don't think that will work as intended for a center brake light, as it would still allow the center to blink if either side was functioning as a blinker.
The way you have it drawn out, the feed from the right brake will turn in the relay in brake mode, but in blinker mode it will turn off the relay when the blinker light turns off, causing the center to flash on and off
Also when the right side is in brake mode, it will turn on the relay, however with the left in turn mode the light will still blink as it is only getting intermittent power from the left side light.
I think the simplest way to get the desired effect would be a dedicated center high mount third brake light feed from the tow rig either from the third brake light, or if that is not available, from the brake light switch, the same place a trailer brake controller gets its signal.