Install with Google Tag Manager

Load Lynkist Website Chat through a Custom HTML tag in Google Tag Manager.

In Lynkist, open your widget's Install tab and click Copy snippet.
In Google Tag Manager, go to Tags → New. Choose Tag configuration → Custom HTML and paste the snippet.
Under Triggering, choose All Pages. Save the tag.
Click Submit and Publish the container.
Open your site. The chat button shows in the corner.

Check my site reads your page's HTML, so it cannot see a tag that Google Tag Manager adds later. Open your site in a browser to test it instead.