Solution for Microsoft Teams is available since Alert Web Part version

  1. Open the Team on Teams panel that you intend to add the Web Part;
  2. Click on the [+] button to add a new Tab to the Team;
  3. On the Search type Alerts and select the BindTuning Alerts
  4. It'll open a modal where you can post that you've added a new tab or not. After selecting either or not to post, click on Save.
  5. The tab will be added to the team.

Now the only thing left to do is to connect the web part and setup the rest of the Web Part Properties.