Integration of Google Tag Manager (GTM) with Convert Experiences will help you to import Convert data into the GTM data layer.
The Data Layer is one of the key concepts in the world of GTM. It ensures maximum flexibility, portability, and ease of implementation. A data layer is like a spreadsheet of information you want to capture about the pages and activities that your users are viewing and performing. You collect all of the information in a data layer and send it along to other tools like Google Analytics through Google Tag Manager.
For each experiment, the integration uses 3 keys of the Convert object (event, experiment_id, variation_name) to pass along the experiment id and variation name that the visitor is currently bucketed into (if any).