Plotly fails to initialize upon app start

I have written a Shiny App that will render two plotlyOutputs when it is started. I'm hosting this app as a shinylive app on a Microsoft Internet Information Services webserver. When visiting the website, only the second plot is actually rendered correctly, the first plot fails with the following error message in the browser console:

Uncaught (in promise) ReferenceError: Plotly is not defined
at Object.renderValue (plotly.js:162:18)
at htmlwidgets.js:539:22

As soon as I modify the first plot, i.e. using some control widgets to filter the underlying data causing the plot to re-render, everything works fine.

Furthermore, everything works fine when I run the shiny app locally using RStudio, which leads me to believe that the issue might be caused by shinylive.

Edit: Here is a simple demo app showing the problem: https://valentin-kamm.github.io/shinylivePlotlyIssueDemo/

Start with the linked shinylive demo and reproduce the initial-load failure in the browser. Read the browser console trace through plotly.js and htmlwidgets.js, then compare the initial render with the successful re-render after changing the first plot. Done means both plots render on startup without the “Plotly is not defined” error in the hosted app.