Auth_token added in documentation as it is required (#32988)

Signed-off-by: Michael Goin <mgoin64@gmail.com>
Co-authored-by: Michael Goin <mgoin64@gmail.com>

docs/serving/integrations/claude_code.md

@@ -39,6 +39,7 @@ Launch Claude Code with environment variables pointing to your vLLM server:
 ```bash
 ANTHROPIC_BASE_URL=http://localhost:8000 \
 ANTHROPIC_API_KEY=dummy \
+ANTHROPIC_AUTH_TOKEN=dummy \
 ANTHROPIC_DEFAULT_OPUS_MODEL=my-model \
 ANTHROPIC_DEFAULT_SONNET_MODEL=my-model \
 ANTHROPIC_DEFAULT_HAIKU_MODEL=my-model \
@@ -51,6 +52,7 @@ The environment variables:
 | -------------------------------- | --------------------------------------------------------------------- |
 | `ANTHROPIC_BASE_URL`             | Points to your vLLM server (default port is 8000)                     |
 | `ANTHROPIC_API_KEY`              | Can be any value since vLLM doesn't require authentication by default |
+| `ANTHROPIC_AUTH_TOKEN`           | Is required. Can be any value.                                        |
 | `ANTHROPIC_DEFAULT_OPUS_MODEL`   | Model name for Opus-tier requests                                     |
 | `ANTHROPIC_DEFAULT_SONNET_MODEL` | Model name for Sonnet-tier requests                                   |
 | `ANTHROPIC_DEFAULT_HAIKU_MODEL`  | Model name for Haiku-tier requests                                    |