[FEATURE] Support for Visual Studio Code "Next Edit Suggestions"

Preflight Checklist

• [x] I have searched existing requests and this feature hasn't been requested yet
• [x] This is a single feature request (not multiple features)

Problem Statement

I found the usefulness of Github Copilot's implementation of this feature to be helpful, but not enough to pay for it. Since I do pay for Claude, I'd love to see it be able to support this feature alongside the chat features it already does.

Proposed Solution

Claude extension for VS Code supports inline code edit suggestions.

Alternative Solutions

I think I can use the Continue extension, either with Haiku (via Ollama) or a self-hosted model, but it'd be better if the Claude extension could do this natively.

Priority

Medium - Would be very helpful

Feature Category

Developer tools/SDK

Use Case Example

_No response_

Additional Context

_No response_