If a radio breaks then it won’t play music from the radio station any more.
If the brain is damaged then our consciousness is impaired.
The question, in the scenario of our consciousness, is whether our consciousness is like the radio itself, or like the radio station that the radio receives.
If our consciousness is like the radio itself then our consciousness probably ends at death.
And if our consciousness is like the radio station that the radio receives, then our consciousness may conceivably exist by other means after death.