[BUG] Windows Local: "Default (recommended)" option missing from /model picker in VS Code Extension

Description

The VS Code Extension's command does not display the "Default (recommended)" option in the model picker on Windows (Local environment), while it appears correctly in WSL.

Environment

• OS: Windows (Local, not WSL)
• Extension: Claude Code VS Code Extension
• Subscription: Claude Pro
• Settings: contains

Expected Behavior

The picker should display:

• Default (recommended) - [Account-appropriate model]
• Opus
• Sonnet
• Haiku

(This is what correctly appears in WSL environment)

Actual Behavior

The picker only shows:

• Opus
• Sonnet
• Haiku
• Custom models

The "Default (recommended)" option is completely missing.

Impact

Without the "Default" option:

1. Extension starts with the last-selected model instead of the configured default
2. No visual indication of which model is currently active
3. After using Opus for complex tasks, the next session defaults to Opus
4. This leads to unexpected rapid consumption of usage limits

Screenshots

(Screenshot will be attached in comment)

Comparison

• ✅ WSL Environment: "Default (recommended)" option appears normally
• ❌ Windows Local: "Default (recommended)" option is missing

Steps to Reproduce

1. Install Claude Code VS Code Extension on Windows (Local, not WSL)
2. Login with Claude Pro account
3. Open chat and type
4. Observe: "Default (recommended)" option is not present in the list

Workaround

Manually execute at the start of each session.

Related Issues

• #3566 (Similar symptom on macOS)
• #14919 (VS Code extension model configuration issues)