If you have changed the Business Name, the new name will be updated in all the places like Service Store, Frontdesk etc. but it won't automatically change in the emails that are auto-generated from the system
To change the Business Name in Emails-
1. From the Dashboard, go to Marketing.
2. Click on Auto-Emails. Select the emails one by one and click on Edit
3. Change the name of your Business Name and click on Save
4. Repeat this process for all relevant emails
GIF: