Okay, I think we're done. We have ascertained that the O/P can border bounce for a 30 day visa exempt entry stamp.
Either call a visa run company (like
************************
that goes to the border every day OR wing it yourself.
One last time, AVOID flying out and back (unless you're gonna stay out of the country a good while before you come back) because you run a high risk of getting pulled aside, questioned and or denied entry by air.
Good Luck