Function start_integrated_remove_all 

pub fn start_integrated_remove_all(
    app: &mut AppState,
    names: &[String],
    dry_run: bool,
    cascade_mode: CascadeMode,
)

What: Start integrated remove process (bypassing preflight).

Inputs:

• app: Mutable application state
• names: Package names to remove
• dry_run: Whether to run in dry-run mode
• cascade_mode: Cascade removal mode

Output:

• Transitions to PasswordPrompt (remove always needs sudo)

Details:

• Remove operations always need sudo, so always show PasswordPrompt.
• Remove is intentionally never passwordless (even when use_passwordless_sudo is true) for safety; only install/update can skip the password prompt.
• Uses ExecutorRequest::Remove for execution.