You’re talking about two different things.
The Immaculate Conception deals with the impregnation of a woman who is still a virgin. To my knowledge, Mary is the only person who experienced that event.
Mary still did not have a “new spirit” .. even if she was a virgin. And .. she couldn’t have a new spirit, because it was not available until Jesus died.
She did receive a new spirit at the Day of Pentecost.
Did you even read the link? The Immaculate Conception is about Mary herself being conceived without original sin. That is how Mary was sinless when she gave birth to Christ.