Legal Question in Employment Law in Texas

That depends on what you mean by "labor laws".

The Texas Labor Code (and federal labor and employment laws) apply to employment work performed within Texas even if the company is headquartered elsewhere and even if an employment agreement says another state's laws govern the agreement. However, there are other laws and other common law claims that can be brought against an employment under an employment agreement (and employment generally) but because of the contractual term you have cited, those claims would likely have to be brought under Florida law. For example, if you were to sue for breach of contract then it would follow Florida's breach of contract cause of action rather than Texas.