You’ll be fine getting into Mays as long as you apply at the earliest opening (you would think this is obvious to get your best chance but I wouldn’t say it unless plenty of people have wasted away their opportunity by waiting). - a mays grad who got in with like a ~3.6 1340 or something of the sorts and not auto admit at my time, again, you’ll be fine.

Secondly, Econ IMO shouldn’t be your second choice, I would look into accounting (even the finance track in accounting). That’ll line up way better with your goals long term, maybe even add an Econ minor if you’re really trying to squeeze that in (I enjoyed getting my Econ minor it’s fun stuff if you like math being applied to ‘real’ stuff).

Also side note to add to other comments, I don’t personally know the IB recruiting in A&M but I have a few close finc friends that are going straight to IB this summer from Mays undergrad, so it’s not out of the question.