TY for sharing the excitement! If you're pulling, that might break the roots & pull off the seed capsule. If you do dig, you might find a palm seed capsule attached to the roots. IDK if all palm seed capsules remain recognizable for a long time but I've found them on parlor plants that had some age to them.
Palm seeds are heavy and not built to be carried on the wind, so unless a critter moves them, they wouldn't go far. I'd suspect the closest ones to the spot. If you don't want to pot them up, try putting a little ring of rocks or whatever to remind you not to step there or pull them. IDK what else might sprout that resembles palm sprouts in your area, though, you might want to confirm the wisdom of waiting with others in your area.
Scroll up to 9/4 my post for explanation of my sprouts, but in short, IDK exactly what they are... from collecting various palm seeds at diff times.
