Do I have a chance?

I’m about to apply to local agencies but wanted some input on if I’m just overthinking my background. Around 2 years ago I worked at target as asset protection. I live in a very liberal city and was not favored by some coworkers because I wanted to become a cop. This led to false accusations from them such as “targeting shoplifters for their skin color” and saying there’s only two genders when asked by a cashier how many genders I thought there were. I had the most cases for shoplifting in the store and it was a pretty good split between different races. I would have to defend myself a lot of the time to my manager but it never led to any type of punishment. Around 5 months into the job I realized it wasn’t for me and decided to put my two weeks in. One week before leaving, a customer came in at night stating they had shoplifted and they put a singular $1 bill on the counter and left. I was called up by the cashier and decided to just take the dollar. I know it was stupid and I should’ve just put it in the office but I wasn’t thinking. Because of this I was fired for stealing. I’m wondering if this will be a disqualification by departments or am I overthinking it?