In short, no, there is no easy way (due to the nature of the installer).
The MSI installer, which is what you want to use when deploying Teams in an Enterprise, is actually an installer itself. It allows Teams to install for the Profile of anyone logging in. If you instead, deployed the EXE, well that is just the Profile installer and will only show for a single user (you do NOT want to deploy the EXE via BigFix).
Side note: You want to periodically update the MSI for your BF task, so that a current version is being deployed to new endpoints. No need to upgrade existing versions as Teams is self-updating.
If a user should uninstall Teams, it won’t install again and it won’t show uninstalled (relevant) for your BF task (as technically, it is still installed). In this case, you have some options, which are shown here, near the end under “Clean Up”.
In this case, we find it easier to just have the user download the EXE and install again.