Ah, quarantinitis! You likely have inflamation in the sheath around the tendon due to the loaded eccentric activity from the treadmill work. I would continue with your current plan of icing, and gradually return to unloaded walking before trying the vest again. If you have a bike, that should work fine in the interim.
Cheers,
Pete

I would start with calf raise holds, progressing up to 45sec. That way, you’re not stressing the sheath interface as much. Progress to the calf raises and eccentrics, with more triplanar/lateral work to follow. General calf dorsiflexion stretches are fine as well.
Pete