How to access wiki html site for private project with api

Greetings,

I have a hopefully quick question:
I would like to access the rendered html code of a wiki page of a private / internal project without the need of using the singin.

Using project tokens I can easily access the the markdown data via the API but so far I was unable to access the html code that creates the rendered page that you see when you are logged in.

Essentially I would like to be able to fetch with curl the same output I would get for a public project when using curl for https://gitlab.com/user/project/-/wikis/wiki-page - however so far I have not found any way to do this with the API and tokens

Background: I am using a self-managed gitlab instance where I unfortunately cannot create public projects. I would like to for instance create/manage a md table and use the rendered html code of it to display it at further places

I would be grateful for any tips or ideas - cheers