Dating a woman with multiple divorces

Let's discuss a hypothetical situation. You are single male in your mid-30s with a good job and stable lifestyle (aka nonalcoholic or drug addict). You see someone on a dating app who you went to college with. She is hot for an early 30 year old south Louisiana woman. She has a good job. You recall her being cool in college and only about a 3-4 on the crazy scale. Here is the catch she is younger than 35 and been divorced twice. The first marriage was to her high school sweetheart before she even finished college, and shockingly it did not make two years. The second marriage which resulted in 2 kids was to a guy in the military. She blames the divorces on the military lifestyle being too much. There is no baby-momma and baby-daddy because he pays child support and is currently deployed overseas. Lets assume that she has a great pair of mom tits and a nice. Do you message her to begin the dating game, or do you just say "aww hell nah" and avoid the dating game all together? If you begin the game are going to do your best to stay in the game just long enough to PIIHB, or do you stay in the game after you PIIHB and actually start officially dating her? If you do not start officially dating her, why not? Did you cull her because of the giant red flag of multiple divorces? Did you cull her because there is a high likelihood that the military marriage ended due to Jody, etc?

Again this is a hypothetical situation for discussion purposes only. I already know what I would do in the situation. I would say nope and move on. I am culling her because she is likely a cheater and once a cheater, always a cheater, and cheating ho's can't be trusted. Also sorry baws no pics.