Of course second hand cigarette smoke is harmful to pets and people. Just ask your veterinarian.
Can you ask your father to step outside when he smokes/vapes (all the same thing)?
I think it would be a reasonable request given all we know nowadays about the potential harm that is possible.
Of course if it is your father’s home and he is paying the bills then he can do whatever he wants. In that case I would consider moving if it was a possibility.
https://www.fda.gov/consumers/consumer-updates/secondhand-and-third-hand-smoke-may-be-making-your-pet-sick#1
