Does the compulsory insurance cover any damage suffered by the driver if it is their fault?

Explanation
Compulsory insurance only covers the civil liability of the driver to third parties, but not personal injury or material damage that the driver or their car suffers when the driver is at fault for that accident. This insurance does not cover damage to the insured vehicle or injury to its driver, but it does cover the rest of the vehicle occupants because they are third parties.
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