My 3 year old girl is also hyper since young especially after she turn 1 year old and started walking. She refused to be carried too. I was also worried at one stage that she is Hyperactive. But as she grow older , she can sit still to do certain activities like colouring and playing with building blocks.
Could be just a phase for your LO. Better to observe and maybe introduce some interesting activities like colouring to get your LO to learn to sit still.
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