Ginny, age $28,$ rented $($as an occupying tenant$)$ the house that was her principal residence from January $1,2018$ through December $31,2019.$ She purchased that house on January $1,2020,$ for $$200,000$ and continued to occupy it through June $30,2021.$ She leased it to a tenant from July $1,2021,$ through December $31,2022.$ On January $1,2023,$ she sells the house for $$550,000.$ She incurs a realtor's commission of $$20,000.$ Calculate her recognized gain if her objective is to minimize the recognition of gain and she does not intend to acquire another residence.