There's a lot going on, with the medical barge. Anything life-threateningly urgent is likely shipped out to a full surgical ward. But general damage, bruises, breaks, and anything hard to treat surgically, that don't involve foreign bodies? Those can come to Aumento's corner of the barge.
The official list of Qualifying Injury Examples Suitable for Aumento's Power is as follows:
Breaks
Nerve Damage
Sprains
Cuts(clean)
Anything non-life-threatening
Internal Injuries
Joint DamageAll injuries with foreign objects should be sent to Airmed or otherwise removed prior to care from Tim.
Recent Conditions get priority
Long-term conditions get de-prioritized.