Easily, by at least 2x.
For me, this makes the "mortgage for 3 years at the most favorable rate you can find with 0 points, then decide if you want to use the proceeds of your sale to pay it off" choice a no-brainer. But having a mortgage doesn't keep me awake at night.
In my personal experience falling in love with a particular property (or car, or anything non-human) can lead to rash/bad choices. Not saying that would happen to you, just that I've seen it with family and friends.
Good luck either way!