The Syndicate had covered their tracks well. Even after three days of thorough searching by General Anderson and the militia, their lair had still not been smoked out yet. There was nothing Link could do about it, so he decided to just wait patiently.
As for Princess Annie, she was ordered to report to the king in Springs City, so on the second day, she reluctantly left River Cove town. With no one left to disturb him, Link could finally dive back into his studies peacefully.
He was no longer staying in the inn attic but was staying in the cabin that the Flamingo Band of Mercenaries had bought instead. There were people tending to his needs here and the food that the cook that they hired at a high price had prepared was delicious too. Most importantly, no one would disturb him here while he studied, so he settled down in the cabin contentedly.