Good afternoon Sherma,
I'm Doug, and I'm very sorry to hear of your situation. My goal is to provide you with excellent service today.
No, you do not have to pay that.
The simple fact is that under Texas law you do not have the right to break your lease. If you want to terminate your lease early, you may either make an agreement with the landlord (which you tried to no success) or you can accept what the law provides if you breach the lease. Let me explain.
It is not a crime to break a lease contract, though. Under the Texas law, the landlord has a legal obligation to mitigate their damages, and will be required to re-rent the residence as soon as possible. You will only be legally responsible for the lost rent until a new tenant moves in---which could be almost immediately.
In the meantime, you shouldn’t plan on getting your deposit back unless a new tenant is found immediately. And, many landlords will argue that they expect to pay for the lease---however, most landlords are not so willing to chase a tenant who signs a lease but doesn't move it and cancels before the lease even begins. So with any luck, you will be out only your deposit.
But either way, you can only be held liable by a court for lost rent during the time that the unit is un-rented, and the landlord does have a legal obligation to seek to re-rent it immediately, as soon as you give notice that you will not be moving in.
If the units in your complex rent out pretty fast, then there is a good chance that you will not have to pay much to break the lease---and probably not nearly 3 month's worth of rent.
You may reply back to me using the Reply link and I will be happy to continue to assist you until I am able to address your concerns, to your satisfaction.
I hope that I have been able to fully answer your question. Please be so kind as to rate my service to you. That is the only way I am credited for assisting you.
I wish you and yours the best in 2016,