I hate to break it to you but this definition of Jew it’s just a racist way to describe Eastern Europeans. Your ancestors were likely Ashkenazi Jews. Polish or Ukrainian or Romanian or Russian etc. Ashkenazim would be a way to describe yourself. Not “Jewish”, as you say you are not a Jew.
This is akin to conflating Muslims with Arabs. Very easy and convenient for people that don’t know better. Used to be true most of the time, but factually not correct. Many TV shows and Muslims self-described all Arabs as Muslims. In the 90’s and 2000’s nobody cared about using the correct naming for things and racist misnomers were fine. Larry David used to play religiously Jewish characters all the time he didn’t mind the trope.
But most people now understand these are not the same and 2000’s entertainment was not an accurate representation of reality. Just a racist one.