Legit Jury Duty Card?

Whoo boy. This probably is legitimate and I know way too much about TX state websites apparently. Tylerapp is a domain for a company called Tyler Tech who hosts websites for public sector customers. They have a heavy presence in Texas and cover (or covered) stuff like the DMV. You probably have used their services before without knowing it. I don't know why the domain does not look more official but it could be temporary or a test, or (my guess) someone gave them the internal URI, which is probably what the website sues. All of that said - look up the website from the actual .gov site, ideally not found on Google, get the phone number from there and just call. It's easy. It's real or not, you're a juror or not.