Symptoms:
How do I rename my DevOps/UVCS organization?
I want to change my DevOps/UVCS organization name.
Can I update my DevOps/UVCS organization name?
Cause:
UVCS organizations are created when you start a DevOps subscription. You might want to call this organization something different.
Please note that each Unity organization must have a unique name.
Resolution:
To rename a UVCS organization, please follow the below steps:

1. Go to cloud.unity.com.
2. Click 'DevOps'.
3. Click the UVCS Organizations.
4. Select the organization
5. Click 'Settings'.
6. Click the pencil icon next to the organization name.
7. Enter the new organization name.
8. Click 'Save'.
Note: This is only available for UVCS Legacy organizations.
More information:
How can I create a new UVCS Organization?
What is the difference between DevOps/UVCS organizations and Unity Organizations?