You can also interpret the Dr Dre quote an abbreviation of, “I’m gonna try (to change the course of hip hop again) and change the course of hip hop again.”
In this form “try and” means you will try to do something and that you will succeed. Some of the articles tests make more sense in this light; Of course you wouldn’t reorder the trying and the succeeding because that’s the order the events will happen.
This ignores the fact that “try and” developed concurrently with “try to” and possibly before. So it wasn’t originally an abbreviation for a phrase that was yet to be established.
That's not what "try and" means though. It's perfectly fine to say "I'm gonna try and fix this" when you don't know if you can fix it.
(Source: I say that shit all the time).
"I have tried and finished my homework" is correct to my ear (possibly because I'm Canadian), but it means successful completion as opposed to "I have tried to finish my homework" implying I didn't get around to it.