Yes, Russian tourist Visa to visit family.
I did not realize it might be possible to transfer an existing visa, but it appears that it can be done here: https://mumbai.mid.ru/en/consular-services/visa_transfer/#:~:text=A foreign national will be,apply for a new visa.
In any case, I will go ahead and get a new passport, and the new Visa since I have to get a new Tourist Visa anyone.