Azure DevOps Integration Install Stuck on "Needs admin approval"

### Environment

SaaS (https://sentry.io/)

### Steps to Reproduce

Follow the install steps outlined in https://docs.sentry.io/organization/integrations/source-code-mgmt/azure-devops/#install. Having done all of the below before installing:

- Sentry organization owner permissions
- User in the Project Collections Administrators
- Enabled third-party application access via OAuth

### Expected Result

Successful install

### Actual Result

Install stops at "Needs admin approval"

### Product Area

Settings - Integrations

### Link

_No response_

### DSN

_No response_

### Version

_No response_

Start by reproducing the Azure DevOps installation flow described in the linked Sentry documentation, using the listed Sentry and Azure DevOps permissions. Trace the integration's admin-approval handling from the Settings - Integrations entry point. Done means the installation completes successfully instead of stopping at "Needs admin approval".

Written by the indexing model from the issue text.