One Free Draw Before Betting on the Majority Color

An urn is type-R with probability $\frac35$ (then it is $80\%$ red balls) or type-B with probability $\frac25$ (then it is $80\%$ blue balls). You will bet on the urn's majority color: a correct bet pays $1$, a wrong bet pays $0$. You may first draw one ball (with replacement) and observe its color for free. By how much does observing this single draw raise your expected payoff over betting with no draw?