Hello,
This is Dr. Klarida Papaqako answering your question. Thank you for posting your concern on HCM.
The evidence tell that the necessity of treating early, uninfected wounds is controversial. Treatment with antibiotics before the wounds get infected is recommended for moderate-to-severe wounds, puncture wounds, wounds on hands, wounds near bone or joint, regardless of appearance or injury
wounds with associated swelling, crush injuries, imunocompromised people.
From what I am understanding your would is on the hand finger, that is a place where bone is near, and so the decision to start an antibiotic is good.
Both medicines are the right ones to be used in this case, so, no they are not contraindicated. And the dose you are taking is not a big does.
You will need to continue those for 3-5 days.
Taking after food, may help not have side effects.
Consider
rabies and
tetanus vaccination if possible. Even if you know your dog is healthy, there is still a risk.
If you have any other question, please feel free to ask.
Regards.