___________ is the state regulatory agency for local law enforcement and county corrections systems in the state of Texas.

The Texas Commission on Law Enforcement (TCOLE) serves as the state regulatory agency overseeing local law enforcement and county corrections systems in Texas. TCOLE is responsible for setting standards and providing training for law enforcement officers, ensuring compliance with state law, and promoting professionalism within the law enforcement community.

In this capacity, TCOLE plays a crucial role in certifying officers, maintaining training records, and developing education programs to promote effective policing and correctional practices. This regulatory framework is essential for maintaining the integrity and effectiveness of law enforcement agencies across the state.

The other organizations mentioned serve different functions: the Texas Department of Public Safety focuses on a broad range of public safety, the Texas Law Enforcement Agency doesn’t exist as a recognized entity under that name, and the Texas Corrections Authority, while related to corrections, is not the primary regulatory body for both local law enforcement and county corrections. Thus, the choice of TCOLE accurately reflects the agency's vital role in regulating these systems within Texas.