[Bug] Claude auto-launches in terminal on VS Code restart despite all auto-start settings being disabled

Description

Claude Code automatically launches in the VS Code terminal every time VS Code is restarted, even after exiting Claude with /quit command.

Steps to Reproduce

1. Open VS Code with Claude Code extension installed
2. Claude launches in terminal
3. Exit Claude using /quit command
4. Close VS Code completely
5. Reopen VS Code
6. Claude automatically launches again in terminal (unexpected)

Expected Behavior

After exiting Claude with /quit and restarting VS Code, Claude should NOT auto-launch. The terminal should start empty.

Actual Behavior

Claude auto-launches every time VS Code starts, ignoring the exit state from the previous session.

Environment

• Claude Code Version: v2.0.76
• OS: Windows

Settings (from settings.json)

All auto-start related settings are already disabled:

"claudeCode.useTerminal": false,
"claudeCode.autoStart": false,
"claudeCode.terminalAutoLaunch": false

Additional Context

• No workspace-specific settings exist
• Issue persists regardless of claudeCode.useTerminal value
• Disabling VS Code terminal persistence settings does not help