The easiest method would be to use the iframe embed option and reload it when you would like to create a new entry. You can use the iframe prefilliframe prefill to populate defaults for the new entry data.
There is a method that involves a bit more JavaScript that works with the seamless embed, but it requires some form and organization specific data. Feel free to contact support directly via the support link within the application if you need additional help.
Disclaimer: I am a developer on the Cognito Form team