Jerk wakes me up everyday with his loud exhaust .
1) How long has this person been doing this?
and
2) Is this noise emanating from a car parked in front of a single-family home or a car parked in an apartment complex?
If the car in question is parked in an apartment complex, his neighbours may have talked to the landlord about this and his days as a tenant may already be numbered.
What I am getting at is, if this fellow is getting your attention at 5AM, chances are excellent that your attention is not the only attention he is getting.
However, if this has been going on for some time (e.g. for three months or more), I am not sure what you can do. One thing I would
not do is look for ways to annoy Mr. Noisy Car with a flashlight or anything else.
To my mind, Q4 of 2022 does not strike me as the best time to do things that are likely to get on other people's nerves even if they are in the wrong. I do not know what kind of patience you have, but I hope you will consider sitting tight for a bit and seeing if the problem ends up solving itself.
In the meantime, have you considered looking for a decent set of noise-cancelling headphones? I understand that you currently use earplugs (to no effect, apparently). However, perhaps a combination of earplugs + headphones might be effective enough to allow you to sleep without having to worry about a daily 5AM alarm call.