Mathilde really needs to think like a manager here: What's the minimum of work I need to invest to keep everyone productive? That's probably going to be 1 or 2 actions per turn, depending on what's actually on the slate, that should be the minimum.
Sometimes she'll have to put in more work, if there's new management stuff to be done. Like getting Bretonnia on board, or making connections to Ulthuan. But so long as results are produced, nobody will give a shit, and results will be produced so long as all the people more skilled at magic than Mathilde keep working on it.
Remember: This project is not about Mathilde personally reinventing the network. It's not even about the Colleges reinventing the network. It's the ancient magical masters doing their stuff (and also some non-ancient humans are being surprisingly useful) with Mathilde serving as lubricant so their pride and suspicion doesn't grind the whole thing to a halt.
(Or put another way, Mathilde is conning them into acting in everyone's best interest, which is a most Ranaldian endeavor. Especially since she's also planning on 'burrowing' a few secrets if she comes across them. )