Function start_integrated_install 

pub fn start_integrated_install(
    app: &mut AppState,
    item: &PackageItem,
    dry_run: bool,
)

What: Start integrated install process for a single package (bypassing preflight).

Inputs:

• app: Mutable application state
• item: Package to install
• dry_run: Whether to run in dry-run mode

Output:

• If passwordless sudo is available: Proceeds directly to PreflightExec modal.
• If passwordless sudo is not available: Transitions to PasswordPrompt modal.

Details:

• Checks for passwordless sudo first to skip password prompt if available.
• Both official packages (sudo pacman) and AUR packages (paru/yay need sudo for final step) require sudo, but password may not be needed if passwordless sudo is configured.
• Uses ExecutorRequest::Install for execution.