Web code sessions should support disabling worktree creation for personal projects

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

Web code sessions always create worktrees (isolated branches in .claude/worktrees/). For personal projects, there's no benefit to
this isolation — it just accumulates stale directories that consume disk space and add unnecessary complexity to the git history.

## Problem

• Every web code session creates a new worktree with an auto-generated branch name
• For solo developers, worktrees serve no purpose (no collaboration, no parallel work)
• Worktrees accumulate over time and must be manually cleaned up
• No way to configure this behavior

## Current Workaround

None. Users must manually delete worktrees after each session.

Proposed Solution

Add support for disabling worktree creation in web code sessions. Options:

1. Settings: Add webWorktree: false to .claude/settings.json to make web sessions work directly on main
2. Or: Add a CLI/web interface option to opt out of worktrees per-session

Alternative Solutions

Priority

Critical - Blocking my work

Feature Category

CLI commands and flags

Use Case Example

## Example Use Case

Solo developer working on personal projects wants to:

• Work directly on main branch
• No isolated branches needed
• Cleaner git history without auto-generated worktree branches

Additional Context

_No response_