In SDK request logs, when we don't enable LogBodies, before this change it looks in the logs like we are sending empty bodies.
```
2025-11-08 01:03:54.710 [debu] sdk request method=POST url=https://coder.example/api/v2/workspaceagents/aws-instance-identity body=""
2025-11-08 01:03:54.765 [debu] sdk response method=POST url=https://coder.example/api/v2/workspaceagents/aws-instance-identity status=400 body="" trace_id="" span_id=""
```
This changes our request and response logging so we omit the `body` field when not logging bodies, rather than show a misleading empty string.
Spike Curtis
6dbde523ae