@AliSG I am running into the same limitation as you and cannot find a way to convert a Miro Table card into a third-party integration card. In fact, I cannot find a way to convert or duplicate a Miro Table card into another other object.
For example, I would usually use a third-party Miro app called Cardsy that will duplicate Miro objects (e.g., text, sticky note, mind map node) into a Card and Miro’s Web SDK does not currently have read access to the new Miro Table cards, so I can’t even create a standard Miro card for conversion into a third-party integration card (Jira, Azure, Trello, Asana, etc.). This is a shame as, one might take advantage of all of Miro’s amazing AI features to synthesize a bunch of work into a Miro Table, only to then be blocked by not being able to get that work into their workflow tool of choice.
I would suggest requesting a feature to convert a Miro Table card into a third-party integration card by posting in the Wish List idea forum – more on this here: Everything You Need to Know About Miro Wish List.
If you do create a Wish List Idea post, I would also recommend that you post a link to it back here, so that future readers of this post can quickly get to and vote for your Idea.