customize category and blog page

I have encountered a couple of customization needs for my blog’s category pages:

I would like to add content created with the Advanced Layout Builder to my blog’s category pages, similar to the ‘color section’. Specifically, I’m aiming to add a full-width header at the top of the content, similar to what is possible on other pages.

Additionally, I am looking to set up different headers for each category. For example, I want to have one header for ‘News’ and another for the ‘Representative Column’ (or whatever the exact category name is). I also want this header setup to apply to the article pages linked to each category, meaning ‘News’ posts would have the ‘News’ header and ‘Representative Column’ posts would have the ‘Representative Column’ header.

In the sidebar where the categories are displayed, I would like to ensure that they do not appear in each other’s listings.

Could you guide me on whether these customizations are possible and how I might implement them?

Thank you for your assistance.