Strength training is anaerobic exercise. Although it will still consume physical strength, but in different ways. In short, you can do anaerobic exercise like a normal person. But aerobic exercise such as long-distance running should be done as little as possible.
Don't care too much about whether you are hepatitis B, in fact, just like normal people. You may be in better health than those with poor abilities. Don't worry. No problem! There is no such thing as physical condition. You can exercise well if you want to!