Lefty guitar player

Hi, I’m a complete beginner & I recently bought a right handed squier stratocaster. I’m a left handed & I play the ukulele left handed as well. I took my first guitar (virtual) lesson today with my new strat using left handed. I will be playing my strat electric guitar upside down as it is a righty guitar & I play left handed. However, I plan to get a better, more professional lefty guitar when I get better. My concern is, since I play my electric guitar upside down right now, would I need to relearn chords if I buy a lefty guitar in the future & play not upside down? Thank you so much!