Ipywidgets don't render

[kolibril13]

Describe the bug

I downloaded the interactive notebook page :
https://myst-nb.readthedocs.io/en/latest/render/interactive.html
threw everything out except the dataframe and the slider widget and locally build a myst-nb sphinx page.
That worked fine and rendered correctly.
But as soon as I re-run the notebook and re-render the sphinx page, the widget slider is not shown anymore.

Reproduce the bug

I've also noted that there is a modle_id metadata for the widget in the notebook from the website, but this metadata is missing for the re-rendered page:

@agoose77 : I saw that you got widgets to work here: #491

If you have some free minutes, can you tell me what I'm doing wrong? :)

List your environment

build log:

% .venv/bin/sphinx-build  -nW -E --keep-going -b html . ./_build/html
Running Sphinx v5.3.0
myst v0.18.1: MdParserConfig(commonmark_only=False, gfm_only=False, enable_extensions=[], disable_syntax=[], all_links_external=False, url_schemes=('http', 'https', 'mailto', 'ftp'), ref_domains=None, highlight_code_blocks=True, number_code_blocks=[], title_to_header=False, heading_anchors=None, heading_slug_func=None, footnote_transition=True, words_per_minute=200, sub_delimiters=('{', '}'), linkify_fuzzy_links=True, dmath_allow_labels=True, dmath_allow_space=True, dmath_allow_digits=True, dmath_double_inline=False, update_mathjax=True, mathjax_classes='tex2jax_process|mathjax_process|math|output_area')
myst-nb v0.17.2: NbParserConfig(custom_formats={}, metadata_key='mystnb', cell_metadata_key='mystnb', kernel_rgx_aliases={}, execution_mode='off', execution_cache_path='', execution_excludepatterns=(), execution_timeout=30, execution_in_temp=False, execution_allow_errors=False, execution_raise_on_error=False, execution_show_tb=False, merge_streams=False, render_plugin='default', remove_code_source=False, remove_code_outputs=False, code_prompt_show='Show code cell {type}', code_prompt_hide='Hide code cell {type}', number_source_lines=False, output_stderr='show', render_text_lexer='myst-ansi', render_error_lexer='ipythontb', render_image_options={}, render_figure_options={}, render_markdown_format='commonmark', output_folder='build', append_css=True, metadata_to_fm=False)
Using jupyter-cache at: /Users/jan-hendrik/projects/manim_share/_build/.jupyter_cache
building [mo]: targets for 0 po files that are out of date
building [html]: targets for 3 source files that are out of date
updating environment: [new config] 3 added, 0 changed, 0 removed
reading sources... [100%] nb_manim_example                                                                                                                         
looking for now-outdated files... none found
pickling environment... done
checking consistency... done
preparing documents... done
writing output... [100%] nb_manim_example                                                                                                                          
generating indices... genindex done
writing additional pages... search done
copying images... [100%] _build/jupyter_execute/853424a882625036c475e2c57d5ab95dc59c4ebc89ebc588cc3a949521155141.png                                               
copying static files... done
copying extra files... done
dumping search index in English (code: en)... done
dumping object inventory... done
build succeeded.

I'm using ipywidgets version '8.0.5'

[kolibril13]

I've made some research and found ot that saving the state of a widget is currently not possible in VS Code microsoft/vscode-jupyter#4404 and also not in JupyterLab (but that might be possible in the next Jlab release again, see jupyter-widgets/ipywidgets#3790) .
The platform that currently supports saving widget states is classical jupyter notebook:

Saving the widget state with that makes them appear in MyST-NB 🎉