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This was the first result on Google
(lemmy.ml)
This is a most excellent place for technology news and articles.
If your dome light isn't an LED, then you should replace it with one. It won't completely fix your problem but it will give you 9 to 10 times longer to catch it.
There's really no reason that every car doesn't have a voltage cut off to protect the battery such that it can still start. Additionally, if they just included a super capacitor then even with a heavily discharged battery, it could charge up the super capacitor to then start the car.
But if we went around doing smart stuff like that then we could potentially wreck the entire lead acid battery industry and that would just be awful...