Car is unable to start up after running a few miles when engine is hot

The most common cause of this is a crank sensor. These are called hall effect sensors and when they get hot they fail and then when they cool down it starts working again.

Here are a couple of guides that gets into more detail:

https://www.2carpros.com/articles/car-cranks-but-wont-start

https://www.2carpros.com/articles/symptoms-of-a-bad-crankshaft-sensor

Unfortunately we don't have a manual for your vehicle so I can't give more specific information but I would replace the crank sensor and then retest. Let me know if you have questions. Thanks