Hi Matt,
Let me clarify what @Lely suggested about the Custom Post Type. The custom post type is an alternative method that needs customization and it is outside of our support scope, but if you are interested in the implementation of that method you can try this plugin.
The main archive page shows all the posts regardless of which category you add. That is the page which you assign in WordPress Dashboard > Settings > Reading > Posts Page. You need to set that option to blank and use the category URLs for the listing page.
If you have the News category, then the news listing page URL will be:
https://example.com/category/news/
And if you have a Blog category, the blog listing page URL will be:
https://example.com/category/blog/
To show those pages in the menu of your website you need to go to Appearance > Menus and add the menu item with Custom Links and set the URL to one of the above.

Or you can go to Appearance > Menus and use the Categories section and select the category that you want to be added to the menu:

Thank you.