links to rendered drafts are added to bottom page navigation when `website:draft-mode: unlinked`

I have:

• searched the issue tracker for similar issues
• installed the latest version of Quarto CLI
• formatted my issue following the Bug Reports guide

Bug description

Draft html documents are added to the page navigation when website:draft-mode is set to unlinked.

2nd screenshot below shows hovered link to the linked rendered draft.

Also see repro:

• https://github.com/prncevince/test-quarto-draft-mode-page-navigation
  And deployed website with issue. See link at bottom on blog post:
• https://prncevince.github.io/test-quarto-draft-mode-page-navigation/posts/post-with-code/

Steps to reproduce

Creating a blank blog, then adding to the following configuration to _quarto.yml can reproduce this:

draft-mode: unlinked, page-navigation: true, a sidebar containing blog posts & 1 draft.

e.g.

Run: quarto create project blog ., copy 1 blog post to new directory under posts & set draft: true in yaml, then edit _quarto.yml to the following:

project:
  type: website

website:
  title: "Demo"
  navbar:
    right:
      - about.qmd
      - icon: github
        href: https://github.com/
      - icon: twitter
        href: https://twitter.com
  draft-mode: unlinked
  sidebar:
    contents:
      - section: Blog 
        contents: posts/*/*
  page-navigation: true
format:
  html:
    theme: cosmo
    css: styles.css

Actual behavior

Rendered drafts are linked in the page navigation. Config option website:draft-mode:unlinked should remove them.

Expected behavior

When draft: true for html documents in a website, the rendered draft should not be added to the page navigation.

Your environment

• OS: MacOS Sonoma 14.6.1

Quarto check output

quarto v1.9.17

Reproduce the issue with quarto create project blog . using _quarto.yml configured with draft-mode: unlinked, a sidebar containing posts/*/*, and page-navigation: true. Inspect the website page-navigation handling and confirm that an HTML document marked draft: true is not added to the rendered navigation.