You’re lucky. I’m in a small older house in a mid to lower income neighborhood and am paying more than your grand total in school taxes alone.
......I do fight em every year. Hopefully, this might help you some. Your Tax Appraisal comes to you in regular mail. I “think” by law they have to be to you by April 1 of each year. Then you have a very short time to file a protest with EVERYTHING being at the State’s convenience, not yours. Last year I was able to reduce my taxes about 800 bucks due to their “way too high” appraisal.
So, along with myself, be on the lookout for your appraisal in a few weeks!