Regarding Tectum span, the next visible steel beam supporting the Tees is 10 ft away. The panels themselves have gaps between each other in the 10 ft direction, they appear to be 2 ft x 4 ft (or so - I need to check dimensions again, but not 10 ft long).
and finally CMU walls and roof near the perimeter leak (but not thru the roof membrane, its perfect).
And maybe its not actually Tectum, but it looks likes it.
The whole purpose of this project is to deal with the leaks.
The problem is if the existing steel beam is not laterally supported, it is undersized, (if laterally supported then OK) and getting the larger steel section in its place may not work because flanges get a little wider.