How do I search for all cached items where the key starts with a string? Or what is a replacement for Cache tags?

I want to track user activity with this controller:

class Controller extends BaseController
{
    use AuthorizesRequests, DispatchesJobs, ValidatesRequests;

    /**
     * Create a new controller instance.
     *
     * @return void
     */
    public function __construct()
    {
        $user = auth('api')->id();

        if ($user) {
           Cache::put('last_active.' . $user, now());
        }
    }
}

Then on a schedule running every 10 minutes, find all Cache items matching last_active.*, then update the User's last_active column.

I initially reached for Cache tags, but they are no longer documented or recommended. What should I do instead?