Width Under A Regime-Switch Forecast

Before a scheduled announcement, the maker believes that during its quote's lifetime the market stays in a calm regime with probability 0.6 (requiring half-spread 0.02) or switches to a stressed regime with probability 0.4 (requiring half-spread 0.10). It sets a single posted half-spread equal to the probability-weighted required width across the two regimes. What half-spread does it quote?