So, typically the tax authorities will asses your home value one year and increase that, then your land value the next year and increase that, and the switch back to the home value for the third year, and just keep switching back and forth, and meanwhile pushing against that 10% limit as hard as they can every year.
But you do have to make sure that you get that "homestead" declaration filed correctly.
There are a number of ambulance-chaser type law firms in Texas that specialize in fighting tax assessments that increase by too much, and many of them work by taking the deal for free and then they'll split the savings with you if they win. Be careful who you choose in this space.