Odd-path local antimagic total chromatic number conjecture

Let $P_n$ be the path of order $n\geq 2$, and let $\chi_{lat}(P_n)$ denote its local antimagic total chromatic number. Odd-path conjecture. For odd $n\geq 3$,

$$\chi_{lat}(P_n)=2.$$

The source verifies the assertion explicitly for $n=3,5,7$ and states it for all odd $n\geq 3$; no general proof or resolution is supplied in the provided text.