I'm Anne, and I have a different answer for you.
The vast majority of Texas school districts do not participate in Social Security, so employees in those districts are entitled to Social Security benefits only if they paid into that system through other employment (for at least 40 quarters) or through their spouses. However, federal law reduces, or in some cases eliminates, the amount of Social Security benefits received in those situations
If you retire from a district that does not participate in Social Security but are eligible for benefits through your spouse, the GPO will reduce the amount of your spousal or survivor benefits by two-thirds of the amount of your TRS pension. Please see below:
Although you still qualify for Medicare, you should not be paying into Social Security, so there should be nothing to change there.
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