It’s Not The Same Church
However, the church that now stands in Jerusalem was not designed by Constantine. It stands on the same spot as the original church, which was demolished in 614 when Khosrau II, Emperor of the Sassanids, conquered Jerusalem and set fire.
Jerusalem Recaptured
Another Roman emperor, Heraclius, recaptured Jerusalem in 630 and rebuilt the cathedral, only for earthquakes to severely damage it again in 746 and the ninth century. The church was then further destroyed by a series of fires during the next several decades.