It appears that Tape Links (weblink. tape app) generated via the create web link and display a message on a web page action do not work when you try to embed them on the dashboards.
The weird thing is that I tested it last week, and it was working fine.
thanks for your report and for sharing the video. We tried to reproduce the problem, but it seems there is no technical limitation in embedding weblink flows in dashboards - it worked well on my end.
As you also said it used to work the week before - are you sure that your weblink flow link is still valid and working? It might have been expired, due to the expiration setting:
I have been testing it for the last few days, and it renders correctly. However, if you open a dashboard tab with multiple tape app links embedded and scroll rapidly, they will not all load correctly. Instead, the first one that appears will load in all embeds, and all the previous embeds will load in the next. This only happens if you scroll very fast.