@okayyyalx here are some stats to help you decide: (these are from 2023, the most recent year with complete stats)
There were 1670 OOS applicants, with a mean GPA 3.73 / MCAT 508
295 of these were accepted, mean stats of those accepted were GPA 3.91 / MCAT 516
151 of those accepted matriculated to a TMDSAS school - the rest went OOS to a school they preferred.
This puts the raw chance of acceptance in TX at 17% (295 of 1670) .
Your signature suggests you have already applied to 40 AMCAS schools, so unless your school list was overly top-heavy your chances are better to get in to one of those.
Applying to TMDSAS would involve filling out the separate application, writing 2 more major essays for the primary, and taking CASPer + Duet.
If you got all this done by the end of August, schools would get your app around the end of September. (late-ish)
The TX schools don't care so much about Texas ties as about your good qualifications as an applicant.
The stats may help you decide where to focus your time now: on starting another app, or on writing those 40 AMCAS secondaries