Though not accessible by default – aside from using Quicktime to create a screen recording video and then taking a still image from it – you can achieve what you’re looking for with a Terminal command. This command, when executed, allows you to screenshot anything with a five or 10 second delay.  To achieve what you’re looking for, just tweak the time (T15=15 seconds), the file name, and location to your liking.

Allow access to record screen

  1. Click the apple icon to open the menu.
  2. In the menu, select System Preferences.
  3. In the System Preferences, select Security & Privacy.
  4. In the left pane, scroll down to find Screen Recording.
  5. In the Privacy tab, select Terminal. 

Run the command to record screen

  1. Click the Finder icon to open a Finder window.
  2. In Applications, search Terminal.
  3. In the search results, select Terminal.
  4. In the Terminal window, type screencapture -C -T15 Desktop/ScreenCap.png.
  5. Press Enter to run the command. Note: Minimize the Terminal window so that the screenshot does not capture it.