Harris County Property Tax Protest

[Farah A.]

Hi there, 
I recently purchased a Townhome on 11/19/2021 in Houston, TX. I am new to the city and trying to make sense of the property tax protest process. I do believe the property values provided to me by the Harris County Appraisal District were inflated.
- I received my 2022 Appraised Value and Market value at ~421k as of 1/1/2022
- The property purchase price on 11/19/2021 was 395k. Also, a 6.5k allowance was paid to me by the seller for repairs.
- There is a total of 6 units in my complex. The 5 other units in my complex of same size, build and age have both a market and appraised price of ~412k (9k less than mine).

Does it seem reasonable to protest the property value and provide my "opinion of the property's value on Jan 1, 2022" as the difference of sales price and the allowance provided for repairs? So, 395 - 6.5  = 388.5k?

Please let me know if you think this is agreeable or if you would go about this a different way. I appreciate any advice.

Thanks in advance,
Farah