Revealjs: presentation ignores actions from speaker view

Bug description

Description

If I perform an action in the speaker view, it doesn't happen in the normal presentation.

For example I might click on a tabset's tab in the speaker view, but nothing happens in the presentation shown to the audience. It changes only in the speaker view.

Example

---
title: Revealjs presentation
format: revealjs
---

::: {.panel-tabset}

### First
First.

### Second
Second.

:::

I click on tab Second in the speaker view and nothing happens in the presentation. The active tab changes only in the speaker view.

quarto check

[>] Checking versions of quarto binary dependencies...
      Pandoc version 3.1.1: OK
      Dart Sass version 1.55.0: OK
[>] Checking versions of quarto dependencies......OK
[>] Checking Quarto installation......OK
      Version: 1.3.287
      Path: C:\Users\username\AppData\Local\Programs\Quarto\bin
      CodePage: 1250

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

[>] Checking Python 3 installation....OK
      Version: 3.10.6
      Path: C:/Users/username/AppData/Local/Programs/Python/Python310/python.exe
      Jupyter: 4.11.1
      Kernels: python3

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

[>] Checking R installation...........(None)

      Unable to locate an installed version of R.
      Install R from https://cloud.r-project.org/

System

Windows 10

Checklist

• Please include a minimal, fully reproducible example in a single .qmd file? Please provide the whole file rather than the snippet you believe is causing the issue.
• Please format your issue so it is easier for us to read the bug report.
• Please document the RStudio IDE version you're running (if applicable), by providing the value displayed in the "About RStudio" main menu dialog?
• Please document the operating system you're running. If on Linux, please provide the specific distribution.
• Please provide the output of quarto check so we know which version of quarto and its dependencies you're running.

Start by rendering the supplied .qmd as a revealjs presentation and reproduce the tab click in speaker view. Trace how speaker-view actions are synchronized with the audience presentation; done means clicking the Second tab updates both views consistently, with the behavior covered by a regression test.