Splitting PnL variance across a bull and bear regime

A trader's daily PnL depends on the market regime $X$. The bull regime occurs with probability $0.6$ and the bear with probability $0.4$. Within each regime, $\mathbb{E}[Y \mid \text{bull}] = +2, \quad \operatorname{Var}(Y \mid \text{bull}) = 3, \qquad \mathbb{E}[Y \mid \text{bear}] = -3, \quad \operatorname{Var}(Y \mid \text{bear}) = 8.$

Use the law of total variance to find $\operatorname{Var}(Y)$, and say what fraction of the risk comes from the regime itself.