how to tell if my harry potter book is first edition

Hi everyone,

I have a copy of Harry Potter and the Prisoner of Azkaban (deluxe edition) and I’m trying to figure out if it’s a first edition. The copyright page has a number line, but it only shows the number '10.' Does that mean it’s a 10th printing of the first edition? Also, I noticed the copyright page says 'Joanne Rowling 1999'—I heard this was a mistake corrected in later editions.

What other details should I check to confirm if it’s part of the first edition? Any tips would be appreciated!