Given a polygon $P$, let $f(P)$ denote the number of lines of reflection symmetries of $P$. For example, if $P$ is a square, then $f(P)=4$, and if $P$ is rectangle that is not a square, then $f(P)=2$. For how many different values $n$ does there exist a $2024$-gon $P$ with $f(P)=n$?

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