You are very likely to have unused Triage Bandages in your inventory after you complete the quest. These can be discarded. If you are tight on inventory space, you may need to discard your remaining Triage Bandages after every failed Triage quest in order to receive a fresh full stack.
You might be able to aid another player trying to complete this quest if you use these bandages. (If you test this, please update this note with your results.)