trying to set image quality with intervention when using Storage(s3)

I am trying to set the image quality when I use image intervention

Reading the docs it says that quality can be set when using save():

$img->save('public/bar.png', 100);

But I never use the save() function since I dont want to store any images on my server, I want to store them on amazon s3 using the store function.

This is what I use:

public function uploadLargeAndMainImages($file,$id)
    {
      $s3 = Storage::disk('s3');
      $extension = $file->guessExtension();
      $filename = uniqid() . '.' . $extension;

      //Create and resize images
      $image = Image::make($file)->resize(null, 600, function ($constraint) {
          $constraint->aspectRatio();
      });
      $image->encode($extension);

      $imageLarge = Image::make($file)->resize(null, 800, function ($constraint) {
          $constraint->aspectRatio();
      });
      $imageLarge->encode($extension);

      // upload image to S3
      $s3->put("images/{$id}/medium/" . $filename, (string) $image, 'public');
      $s3->put("images/{$id}/large/" . $filename, (string) $imageLarge, 'public');
    }

This will never set the image quality, so must I first save the images on my server then upload them to amazon s3 if I wish to set the quality?