[Feature] Add auto mode for enterprise Claude Code accounts

[m4tta]

Some enterprise Claude Code accounts have org settings that disable dangerous permission bypass / dangerously_set_permissions, which prevents Full access mode from being allowed.

The only practical fallback today is auto-approve edits, but that still prompts for approvals. We should add Claude Code's auto mode so these users can reduce approval prompts without requiring dangerous full-access permissions.

Related PR: #3628

[juliusmarminge]

Closing as a duplicate of #6730, which already tracks Claude Code auto mode, including enterprise accounts that disallow permission bypass. This remains an open request.