It seems that fixing a single arcane connection is an exclusive Season of lab activity. On the face of it, it appears to be an inefficient use of a Lab for a Season.
I guess I can justify by saying a Lab is the equivalent of an Hermetic clean room. Any other magical operation in the Lab will contaminate the Arcane Connection being fixed.
But much effort is required to fix an Arcane Connection? It seems that an apprentice newly opened to the Arts and a single level in Magic Theory could fix an Arcane Connection.
So it seems you need a Lab for a Season, rather than the full time occupation of a magus.
Hence a Magus could probably study from a book for that Season, taking maybe 1 hr per day to check that the Fixing is proceeding correctly.
Or perhaps have two Labs, one for fixing the Arcane Connection, the other Lab for another Magical activity, without penalty. Including fixing another Arcane Connection.
Presuming your mage had access to enough labs, how many Arcane Connections could be Fixed each Season ?