You can share Panopto videos directly through chat messages. This requires all participants of the message to have the Panopto App installed through MS Teams as well and they'll need to have permission to view the video.
For sharing videos with students, you can keep and access videos using the folder created in Panopto for each of your Blackboard courses. For sharing videos with students and other staff, you can always set their access to Your Organization (unlisted).