I think you can use nut-js desktop automation tool to send commands straight to the target window

```

import { mouse, Window, Point, Region } from '@nut-tree-fork/nut-js';

async function clickLinkInWindow(windowTitle: string, linkCoordinates: { x: number, y: number }) {

try {

    // Find window by title (using regex)
    const windows = await Window.getWindows(new RegExp(windowTitle));
    if (windows.length === 0) {
      throw new Error(`No window found matching title: ${windowTitle}`);
    }
    const targetWindow = windows[0];

    // Get window position and dimensions
    const windowRegion = await targetWindow.getRegion();
    console.log('Window region:', windowRegion);

    // Focus the window
    await targetWindow.focus();

    // Calculate absolute coordinates relative to window position
    const clickPoint = new Point(
      windowRegion.left + linkCoordinates.x,
      windowRegion.top + linkCoordinates.y
    );

    // Move mouse to target and click
    await mouse.setPosition(clickPoint);
    await mouse.leftClick();

    return true;
  } catch (error) {
    console.error('Error clicking link:', error);
    throw error;
  }

}

```

Maybe instead of a floating window do it like Zoom does when you're sharing your screen, become a frame around the desktop with a little toolbar at the top, bonus points if you can give Claude an avatar in a PiP window that talks you through what it's doing