Permission failures result in constant retries that eat up tokens

**Describe the bug**
It seems when the SDK is trying to do something and it fails, it just keeps retrying forever and keeps eating tokens until it times out after 45 minutes.

**To Reproduce**
You can see the action logs here:

https://github.com/vexxhost/atmosphere/actions/runs/20788838033

**Expected behavior**

Exit and leave early, don't loop forever.

**Screenshots**
If applicable, add screenshots to help explain your problem.

**Workflow yml file**

https://github.com/vexxhost/atmosphere/pull/3396
https://github.com/vexxhost/atmosphere/actions/runs/20788838033

**API Provider**

[X] Anthropic First-Party API (default)
[ ] AWS Bedrock
[ ] GCP Vertex

**Additional context**
Add any other context about the problem here.