Hello SnurovasAleksandras-3884,
I'm glad that you were able to resolve your issue and thank you for posting your solution so that others experiencing the same thing can easily reference this! Since the Microsoft Q&A community has a policy that "The question author cannot accept their own answer. They can only accept answers by others (Opens in new window or tab)", I'll repost your solution in case you'd like to "Accept (Opens in new window or tab)" the answer.
Issue: When submitting an update request in purview, receiving a status check link in the response header.
Error:
The client 'xxxxxxxx-xxxx-xxxx-xxxx-xxxxxxxxxxxx' with object id 'xxxxxxxx-xxxx-xxxx-xxxx-xxxxxxxxxxxx' does not have authorization to perform action 'Microsoft.Purview/locations/operationResults/read' over scope '/subscriptions/xxxxxxxx-xxxx-xxxx-xxxx-xxxxxxxxxxxx/providers/Microsoft.Purview/locations/southcentralus/operationResults/xxxxxxxx-xxxx-xxxx-xxxx-xxxxxxxxxxxx' or the scope is invalid. If access was recently granted, please refresh your credentials.
Solution:
The service principal does not have read permissions to check the status and returned a 403 error.
This issue was resolved by assigning the service principal to the Reader role at the subscription level.
If you have any other questions or are still running into more issues, please let me know.
Thank you again for your time and patience throughout this issue.
Please remember to "Accept Answer" if any answer/reply helped, so that others in the community facing similar issues can easily find the solution.