Havent played in years, how quick could I rank up on the new season for the lyka cat?

Its free till feb 4th. How soon can I rank up to get her? Shes on page 64. I play on xbox & dont use my xbox anymore, so really dont wanna pay for gamepass....but I really want that damn cat, shes so cute. Btw I am on unemployment till march 3rd so got nothing but time.