Iframely interactive imbed vs botsheets generic card

I am trying to imbed a botsheet on my web site but our platform does
not allow iframe code. So we're using the share URL because the
platform allows iframely compatible URLs. However, when doing so It
does not embed interactively, only as as a clickable generic botsheets
summary card that when clicked opens the bot in a new browser window.

Can you change the way the share URLs work so that the chatbot
displays interactively?