Footnote on chapter header for quarto html book

Bug description

Footnote on chapter header in a quarto html book is not rendering correctly. This is related to a question post in stackoverflow and in #7841 by John K. Kruschke

Steps to reproduce

The structure of the book is the following:

_quarto.yml

project:
  type: book

book:
  title: "Book test"
  chapters:
    - index.qmd
    - a_chapter.qmd
    
number-sections: true

format:
  html:
    theme: default
  pdf:
    documentclass: book

editor: visual

index.qmd

# Preface {.unnumbered}

This is a Quarto book.

a_chapter.qmd

# A Chapter Header[^a_chapter-1] {#sec-a_chapter}

[^a_chapter-1]: Footnote Chapter A Header.

This sentence has a footnote[^a_chapter-2]

[^a_chapter-2]: Footnote Chapter A paragraph.

See @sec-a_chapter.

Expected behavior

I should expect to obtain a similar result as in the case of quarto pdf book:

Actual behavior

I obtain the following result:

Your environment

• IDE: RStudio 2023.12.0+369
  "Ocean Storm" Release (33206f75bd14d07d84753f965eaa24756eda97b7, 2023-12-17)
  for windows Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) RStudio/2023.12.0+369 Chrome/116.0.5845.190 Electron/26.2.4 Safari/537.36
• OS: Edition: Windows 11 Pro
  Version: 22H2
  Installed on: 2023-‎06-‎26
  OS build: 22621.2861
  Experience: Windows Feature Experience Pack 1000.22681.1000.0

Quarto check output

$ quarto check
Quarto 1.4.533
[>] Checking versions of quarto binary dependencies...
      Pandoc version 3.1.11: OK
      Dart Sass version 1.69.5: OK
      Deno version 1.37.2: OK
[>] Checking versions of quarto dependencies......OK
[>] Checking Quarto installation......OK
      Version: 1.4.533
      Path: C:\Users\Usuario\AppData\Local\Programs\Quarto\bin
      CodePage: 1252

[>] Checking tools....................OK
      TinyTeX: (external install)
      Chromium: (not installed)

[>] Checking LaTeX....................OK
      Using: TinyTex
      Path: C:\Users\Usuario\AppData\Roaming\TinyTeX\bin\windows\
      Version: 2023

[>] Checking basic markdown render....OK

[>] Checking Python 3 installation....OK
      Version: 3.11.6 (Conda)
      Path: C:/Users/Usuario/anaconda3/python.exe
      Jupyter: 5.5.1
      Kernels: ir, julia-1.9, python3

[>] Checking Jupyter engine render....OK

[>] Checking R installation...........OK
      Version: 4.3.2
      Path: C:/PROGRA~1/R/R-43~1.2
      LibPaths:
        - C:/Users/Usuario/AppData/Local/R/win-library/4.3
        - C:/Program Files/R/R-4.3.2/library
      knitr: 1.45
      rmarkdown: 2.25

[>] Checking Knitr engine render......OK

Reproduce the issue using the supplied _quarto.yml, index.qmd, and a_chapter.qmd examples, first running the Quarto HTML book render. Compare the chapter-header footnote with the paragraph footnote and the expected PDF behavior; done means the header footnote renders correctly in the HTML book while the existing references still work.