The Peak of a Biased PMF

A biased coin lands Heads with probability $\frac{1}{3}$ and Tails with probability $\frac{2}{3}$. It is flipped $3$ times, and the flips are independent.

Let $X$ be the number of Heads, so $X \in \{0, 1, 2, 3\}$.

Which value of $x$ carries the largest PMF value $P(X = x)$, and what is that probability?