Almost outgrown bassinet is pack n play safe to sleep in

My little guy is 16lbs and the weight limit on his halo bassinet is 20 lbs. So we are trying to figure out where he will sleep next since his crib is in a diffrent room and would like to keep him close to us for the first six months. Is a pack n play safe for him to sleep in? Also the insert that comes with it that raises the floor up to the mid point does anyone know what thats called?

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