should my 5 yr old get a Covid test?

My 5 year old came home from school yesterday not feeling well he said. Very fatigue and was warm then later that evening ran a fever of 101.7 that went down through the night after taking Tylenol and using cold wash cloths to keep on his forehead

Today he’s just a little warm but full of energy.

Fatigue and fever were his only symptoms, other than complaining that his body ached a little before he went to bed last night.

I’m just wondering if I should get a Covid test for him because he doesn’t seem to have/had symptoms of a cold or flu, like runny nose/coughing/nausea or anything. So I have no explanation for the random fever