These two get confused constantly, and the mix-up slows cases down because the wrong claim type gets filed with a platform.
Copyright protects a specific created work: your video, your course content, your product photography, your written content. If someone copies the actual thing you made, that's copyright.
Trademark protects your brand identity: your business name, your logo, and how customers recognize you. If someone uses your name or logo to sell something, or to make their business look like yours, that's trademark, even if they haven't copied a single photo or line of text you wrote.
The overlap that confuses people: a counterfeit listing often infringes both at once. It might use your actual product photos (copyright) while also using your brand name to pass itself off as genuine (trademark). Reporting it as only one or the other, when it's genuinely both, can mean a platform only addresses half the problem.
Getting this distinction right at the start is mostly about which report form you use and which facts you lead with. Most platforms, including Amazon, have separate reporting paths for each, and picking the wrong one is a common reason a report gets bounced back asking for different information.
Not sure which one applies to your case:
We identify which category, or categories, your case actually falls under before anything is filed, so the report goes in through the right process the first time.