Rookie Coach Texas State Qual Question for Middle and Elementary

Hi! I have a question about qualifying in different regions of Texas. Our team is based in Region 3. Does that mean that if we play in an event in a different Region, we couldn’t qualify for Region 3 State Champs? Also, would they qualify for the Region Champs that we played in? I.E., my principal wants us to consider traveling to Austin or San Antonio for a tournament. If we do well enough, would this qualify us for Region 3 Champs, Region 2 Champs, or neither?
Any help would be appreciated. Thanks!