Page template not displayed in the list of template on pages.

[Guillaume-AA]

Hi !

I'm working on a new Dawn theme (Dawn version 7.0.1) 

The actuel published theme is a Debut version 11.3.1
When I create a new page template  (contact or FAQ or whatever) on front editor

I can't see it form page back editor in the list of template to attribute to 

Support told me that because I'm not using 2.0 but I did, I'm actually working on the Dawn version. 

Should I publish my 7.01 version before ? 

Could you please help me ?