What this plugin does—and what depends on the rest of your WordPress installation.
Tool storage
The naming tools do not set cookies or use browser local storage for your entries or generated ideas. Results are held in page memory. Printing and downloads create separate copies only when you choose those actions.
WordPress and other services
WordPress can set cookies for logged-in users, comments and administration. Hosting, security, analytics, advertising or other plugins may set additional cookies or use similar technologies. This plugin does not control those services.
Your choices
You can inspect or clear cookies through your browser settings, although clearing essential cookies can sign you out or affect site functions. The site operator should audit the deployed services and add a consent mechanism and accurate list where required by applicable law.