Secondly, there must be loopholes in your defense barrier, such as skin damage and immune deficiency.
From what you have said now, I don't think it is likely to be infected. When the virus is inactive, the amount of virus in the patient's body fluid is less, the virus that comes into contact with your hands is less, the virus that comes into contact with your wounds and mucous membranes and enters the human body is less, the virus that is not killed by your body fluid immunity is less, and the remaining viruses are even less contagious. If you have been vaccinated with hepatitis B vaccine, the probability of infection has basically dropped to a few thousandths.
The route of transmission of hepatitis B is similar to AIDS, but there is no clear statement that it is not contagious through daily contact, but the probability of infection through daily contact is very, very small.
I hope I can help you. Welcome questions.