AZ guns laws concerning CCW on school grounds

My understanding of gun laws in AZ, is that carrying a gun concealed or having a gun in a car on public school grounds is not allowed in AZ? Is this correct?

Additional information:
I have AZ issued CWP
School is a public elementary school
Handgun is either secured in car, or carried concealed on person
NOT entering any buildings or gated premises on school grounds

Context:
My question specifically relates to school drop off and pickup, where my preK-aged child is walked to a gate at the start of his school day and picked up at the same gate at the end of his school day.

Thanks in advance for any information offered.