(DOCSP-27748): Fix broken realm-web tests (#2638)

## Pull Request Info

Fix broken realm-web tests. made tests work with existing App Services
App in bushicorp org.

### Jira

- https://jira.mongodb.org/browse/DOCSP-27748

### Staged Changes

n/a

### Reminder Checklist

If your PR modifies the docs, you might need to also update some
corresponding
pages. Check if completed or N/A.

- [x] Create Jira ticket for corresponding docs-app-services update(s),
if any
- [x] Checked/updated Admin API
- [x] Checked/updated CLI reference

### Review Guidelines


[REVIEWING.md](https://github.com/mongodb/docs-realm/blob/master/REVIEWING.md)

Author: mongodben