My new Apple Pencil is not showing in Bluetooth to pair

Try restarting your iPad and see if that fixes it. Make sure that you are updated to iOS 13.6 as well. If neither of those work for you, try quickly plugging and unplugging the iPad in to charge using the lightning cable and then plug the pencil into the port right away and see if it will pair.

Sorry. I missed your signature which says iPad Air 3. Use Demo's suggestion below, which should work.

You’re welcome. Glad to hear you got it working.