What is the name of a minor shot that is recorded after the main filming to support the primary footage?

The term that describes a minor shot recorded after the primary filming to support the main footage is known as a "pickup." Pickups are typically used to capture additional material that was either missed during the original shoot or needed for clarity and continuity in the narrative. This supplementary footage can include small details, reactions, or other shots that enhance the storytelling or fill gaps that became apparent during the editing process.

On the other hand, insert shots, cutaways, and establishing shots serve different functions. An insert shot usually focuses on a specific detail that complements the action, a cutaway provides a visual off-screen context related to the main scene, and an establishing shot sets up the scene by showing the broader context or environment. While these shots are important in film, they are not specifically aimed at supplementing the primary footage in the way pickups are.