Design a Minecraft-style post-apocalyptic survival game logo in pixel art

Design a Minecraft-style post-apocalyptic survival game logo in pixel art. The central focus is a pixelated character holding a gun, standing ready for battle. Surround the character with elements that suggest a zombie-infested world, including pixelated zombies, broken buildings, and dark, moody lighting. The overall color palette should be gritty and muted, with shades of gray, brown, and dark green, reflecting the bleak and dangerous environment.