Are you asking if the law will permit you to record the meetings? Yes, in Texas you do not need to have the consent of all parties to legally tape.
However, if you are asking whether the law gives you a guaranteed right to tape the meetings so that there can be no possible repercussions, that's a different question with a different answer. Just because you can tape without violating any state statutes does not mean that you MUST be allowed to tape the session. If you tape without permission, you CAN be fired for it and it will be quite legal for them to do so. It is legal - it is not a right under the law.