All fertilizers can be used with each other if dosed correctly. They are basically all the same thing in the end. The only real difference is if it is organic nutes or chemical nutes. AN is a bit of both. And both can be used together.
The deal is if you add something more than recommended you have to subtract something else.
It is all about balance but shoving just more in doesn’t work no matter how fancy the label is.
Brand is really irrelevant. Some make it easier to grow for various reasons (like pH perfect helps some people who struggle a bit). So if a person has little skill or a black thumb then some nute programs make for better success. But if you have a green thumb and know a lot about plants and how it all works you can get great product growing a whole host of ways including without bottled nutes at all.
It is just a little basic math needed and an understanding of what is in the bottle and what that bottle translates to in the other brand.
It has been years since I looked at the AN line but I think all of those things you mentioned have an analogous product in the AN lineup and you could use what you have instead of their stuff at the correct stage.