Is it possible to reinstall a fixed cup (Italian thread) to the correct torque with this wrench?

I ask because this is what I have and one of the sides does fit the fixed cup.

My fixed cup came loose today on my first ride on a new to me bike. I think it was probably my fault, I didn’t check to make sure the nds was tightened up, I just checked for play and felt none so figured it was on there tight. At least I think that’s what caused it? I know Italian threaded BBs are prone to coming loose but not if tightened up to the right torque, no?

not sure how pictures could help but here’s what I found when I got home



any help would be much appreciated, I’m just trying to avoid having to buy a $100 tool!