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Use Checkpoints to restore HP and SP
Early in the game, SP recovery items are not easy to come by. You'll have easier access to these when you're able to cook. In the meantime, rely on Checkpoints. Examine a checkpoint and choose "Return From Jail" to go back to reality, restoring HP and SP. Once recovered, "Explore Jail" and to continue your mission and go to your previous checkpoint. Keep in mind, this does respawn enemies.