Feature request: Inline/tab code completions in VS Code and JetBrains extensions

Currently, Claude Code's IDE extensions (VS Code and JetBrains) do not support inline tab completions. Users who subscribe to Claude Code have no way to leverage their subscription for in-editor autocomplete — the only path today is a separate Anthropic API key via tools like continue.dev or Cursor.

It would be greatly valuable to have native inline completions powered by Claude directly in the official extensions, so Claude Code subscribers can use their existing subscription for this common workflow without needing additional accounts or API costs.

Requested feature: Inline/tab code completions in the VS Code and/or JetBrains Claude Code extensions, using the existing Claude Code subscription.