Your question is Coin-Placement Circle Game. Take a moment with it on the right.
Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).
There is a circle and coins. Two people take turns placing a coin inside the circle; if there is no space to place a coin, the previous player wins. If you play first, is there an absolute strategy to win?