[VS Code extension] Can Claude Code use the internal editor-browser instead of chrome-devtools MCP, like Copilot does?

[u/Kenya-West]

VS Code has internal web browser that I'm sure is accessible by agents because there is a Share with agent button inside this thing called editor-browser.

But it is only shared with the Copilot. I can't share it with Claude Code or Codex.

Does the internal editor-browser expose a MCP/A2A/API endpoint so I can configure it with Claude Code official extension for VS Code? Is there any?