Capture path info from the request in the session

I want to capture each path that a user requests in the session. I thought that the best place to do this would be from the public/index.php file. Here is what I tried:

public/index.php

<?php

/**
 * Laravel - A PHP Framework For Web Artisans
 *
 * @package  Laravel
 * @author   Taylor Otwell <[email protected]>
 */

define('LARAVEL_START', microtime(true));

/*
|--------------------------------------------------------------------------
| Register The Auto Loader
|--------------------------------------------------------------------------
|
| Composer provides a convenient, automatically generated class loader for
| our application. We just need to utilize it! We'll simply require it
| into the script here so that we don't have to worry about manual
| loading any of our classes later on. It feels great to relax.
|
*/

require __DIR__.'/../vendor/autoload.php';

/*
|--------------------------------------------------------------------------
| Turn On The Lights
|--------------------------------------------------------------------------
|
| We need to illuminate PHP development, so let us turn on the lights.
| This bootstraps the framework and gets it ready for use, then it
| will load up this application so that we can run it and send
| the responses back to the browser and delight our users.
|
*/

$app = require_once __DIR__.'/../bootstrap/app.php';

/*
|--------------------------------------------------------------------------
| Run The Application
|--------------------------------------------------------------------------
|
| Once we have the application, we can handle the incoming request
| through the kernel, and send the associated response back to
| the client's browser allowing them to enjoy the creative
| and wonderful application we have prepared for them.
|
*/

$kernel = $app->make(Illuminate\Contracts\Http\Kernel::class);

$response = $kernel->handle(
    $request = Illuminate\Http\Request::capture()
);
dump(session()->all());
if(session()->has('breadcrumb'))
{
    session('breadcrumb')->addPage($request->getPathInfo());
}
else
{
    dump("created breadcrumb");
    $breadcrumb = new App\DoubleL\Application\NavigationBreadcrumb();
    session(['breadcrumb' => $breadcrumb]);
    session('breadcrumb')->addPage($request->getPathInfo());
}
dd(session()->all());
$response->send();

$kernel->terminate($request, $response);

Here is the NavigationBreadcrumb class:

<?php

namespace App\DoubleL\Application;

class NavigationBreadcrumb
{
    protected $flow;

    public function __construct()
    {
        $this->flow = collect();
    }

    public function addPage($routeName)
    {
        $this->flow->push($routeName);
    }

    public function getPreviousPage()
    {
        return $this->flow->last();
    }
}

The session only ever stores the information for the most recent request. How can I make it save every path the user visits?