Can't intersect inside a solid

I’m trying to intersect hollow tubes from the side and top inside a surface (like a T shape) but having no real luck! I have attached a drawing showing what I am trying to do!

Hi Nate

Have you tried ExtrudeCrv on the side circle full width, then ExtrudeCrv on the leg to half way through the first Tube solid.

Then BooleanUnion the tube solids of the Tee, then BooleanDifference from the block, or have I misinterpreted as I often do…

nope, you nailed it on the head Thank you!