Any operation in the Intercom app that involves interaction with Jira (e.g. create an issue or retrieve available Jira projects) will run as what we call the Intercom app user. The Intercom app user is the Jira user who was logged in to Jira when the Intercom app was installed and the connection to Jira was authorized. This guide will explain how you can change the Intercom app user to another Jira user.
Open Jira in your browser and click on your avatar in the top right corner (1), then click Logout (2).
After that, follow the steps to uninstall the Intercom app.
Reinstall the app by following the steps in the setup guide. Note that this time Jira will ask you to log in before you can authorize the connection to Jira. Log in with the Jira user that you would like to become the new Intercom app user.