Pages + AppleScript: How to add a page with a specific page template

I have a single-page “page layout” Pages document, and that page uses custom page template: a grid of small squares. Then I need to add multiple pages to this document using AppleScript. Those pages should be of the same page template as the first page:

But instead the added page is simply blank.

Here is the code which I currently use:

tell application "Pages"
	tell front document
		set newPage to make new page
	end tell
end tell

I tried to make things like

tell application "Pages"
	tell front document
		set newPage to make new page with properties {page template: "my grid"}
	end tell
end tell

but this doesn’t work.

Another approach I think about is to use duplicate command to duplicate the current page instead of creating a new one by using make new page. But I cannot figure out how to make it work.