Heated Sweatshirt Is Running With A Sweatshirt Bad?

Is running with a sweatshirt bad? - heated sweatshirt

I am 17 years old and I live in Florida. At the beginning of the summer I was able to run non-stop about 1 mile before they tired. Then I began my mountain bike 50 miles every night (3 hours non-stop) until about 3 weeks before school starts. I ran 3 miles. Now I am running 6.5 miles.

My parents yelled at me because I run under a shirt and arms seem to think that I'm going to get heatstroke. If the term of 80 degrees and drink plenty of water should not be either a heat stroke? Thank you.