Final answer:
The false statement is about the requirement for people to be Catholic in Texas during the time it was part of Mexico.
Step-by-step explanation:
The false statement among the given options is: 'People were required to be Catholic, but the authorities didn't enforce this.'
During the time Texas was part of Mexico, there was no official requirement for people to be Catholic, and even though the majority of the population was Catholic, it was not enforced by the authorities.
Therefore, the false statement is that people were required to be Catholic, but the authorities didn't enforce this.
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