Handling a horses hooves - no matter what the age - is never a GAME. People 'play' with babies and they grow up to be problem horses.
I'm not in the mood for this.
I play with my foal.s. I sit down in their stalls and I run my hands over them, and down their legs and I pick up their feet and set them down again. All from the time they are a day or 2 old. They get used to it quickly and they don't mind being handled.
They are not allowed to bite, get on their back feet, kick or paw at me. EVER. While I am loving and playing with them, they are also taught manners.