That finger splint does not adequately represent the PITA you're having to deal with.
It should be much more elaborate.
That opinion is based on personal experience.
When I was about 13 YOA, I seriously injured my right index finger.
After about a week of great pain (no pain killers offered), after the stitches were removed, the Doctor covered the wound with a band-aid (or three).
For all that I had been through, and was still going through, I thought a cast, plus a sling, plus a couple of armed guards would have been appropriate.
It's a cold cruel world.
Take care and do whatever is required to heal well. After all, that's your shifting hand.
You're going to need it in good shape.