Linear Desk PnL Drift Target from a Shared Driver

Under P, dX_t = 0.8dt + 0.4dW_t and dY_t = 0.3dt + 0.2dW_t share the same Brownian motion. Let L_t = 2X_t + 1Y_t. If Q is chosen so that L has drift 0.6 under Q, what theta is required and what is the resulting Q-drift of X?