Partition by licitation - also known as partition by sale - is typically requested when a property cannot be subdivided.
If the property is large enough to be subdivided, then you can counter for partition by subdivision - also known as a partition in kind.
Generally speaking, a co-owner is free to seek partition when you do not agree to sell the property, buy them out at fair market value or divide it in kind.
You will need to consult with a local TX attorney to determine what defenses you might have.
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