Cannot see my organization when adding github integration

### Environment

SaaS (https://sentry.io/)

### What are you trying to accomplish?

We would like to connect our github organization via the "Add Installation" button from the integrations tab.

### How are you getting stuck?

However, the dropdown does not display the ogranization in question:

I can confirm that I am an owner of the organization.

### Where in the product are you?

Settings - Integrations

### Link

_No response_

### DSN

_No response_

### Version

_No response_

Start in Settings - Integrations by reproducing the GitHub integration flow through the "Add Installation" button and checking why the organization is absent from the dropdown. Done means the affected GitHub organization is displayed and can be selected by an organization owner.

Written by the indexing model from the issue text.