N.P.
Hi J.!
Both of my boys went through this a little bit younger than 3 years old. It can be very frustrating, indeed. But, for whatever reason......they needed me constantly and it was my job to make them feel secure.
I began saying my EVERY move "outloud" so they could hear what I was doing. Even when I rotated the laundry they would help :o) They also wanted to be with me when I went to the bathroom. It was frustrating, but if/when I got myself all upset about everything, it didn't do any good. It only produced tears. So, I had to REALLY adjust my way of thinking and my level of patience.
So, if you're looking for advice, then I would have to say to be really patient. It doesn't last forever and your boy needs to feel secure with you :O) You and he are creating a bond that will last forever with him. He's not playing a "game" with you about needing you by him, it's a real sense of security that he needs for whatever reason, and you are the only one in his life who can make him feel that secure :O) What a compliment :o)
So, just keep announcing your every move, and inviting him to come with you for every laundry rotation, bathroom break, etc.... He'll eventually realize that he's not missing anything!
Merry Christmas!
~N.