Converting 1 clip into smaller clips

I'm getting great results using the new neural "Detect Scene Cut" tool in Resolve Studio 17. But once I've confirmed all my cut points, I'm wanting to convert all my new clips into independent media in order for me to flag my clips individually.
I feel like the key would be to media manage my timeline, but while this creates new media, the clips themselves remain linked to one another. Am I doing something wrong? Is what I'm trying to do possible?
I feel like the key would be to media manage my timeline, but while this creates new media, the clips themselves remain linked to one another. Am I doing something wrong? Is what I'm trying to do possible?