I have my own programming language (pretty advance), but I don't even know what these two typing approaches are. Is it problematic? Or I just have one of these two without knowing that?
Probably not. Most popular programming languages have messy - unsound and/or undecidable - type systems e.g. C++, C#, TypeScript, Java,..
..because that is more practical.
I'm going to be contrarian: Yes, you should learn about type systems if you want to design a programming language, and decide in full conscience what you need. At the very least, it will give you a concrete idea of what safety means for a programming language.
It doesn't mean you have to use an advanced one, but your choice choose be based on knowledge, not ignorance.
A lot of harm; including the billion dollar mistake, has been done by badly designed type systems from the Java/C/C++ family.