Serious question about HSV-1

I just found out recently that I have HSV-1 genital.. I had an outbreak down there. Because I have HSV-1, does that mean I have oral so I can get cold sores? Or is it just in the genitals? I honestly don’t know so if someone could answer please, that would be nice. Thank you in advance.

*I will not answer questions in the comments to stay anon.