I was not impersonating

Using Kagar as a name is saying “I am Kagar”. If somebody asks you for clarity, the onus is on you to make sure they know that you aren’t who your name says you are.

You would be allowed to use the name if you had responded confirming that you are not actually Kagar.

It’s not a huge deal either way. There are no bans, just a name change. This won’t be possible soon anyway.