Custom metadata labels with Claude models on Vertex AI

Google Cloud Vertex AI enables us to annotate custom metadata labels. We can utilize the labels to analyze cost.
If Claude-code supports this feature, we can granularly analyze cost of Claude models on Google Cloud. Specifically, it would be great to add the user account or the Google Cloud service account to identify who call Claude models on Vertex AI with claude-code.

https://cloud.google.com/vertex-ai/generative-ai/docs/multimodal/add-labels-to-api-calls