jpg rotate without quality change

Question

I know that jpg follows the following method when saving images.

1. DCT transformation
2. Quantization
3. Lossless Compression

Usually when rotating an image

1. Image -> RGB Array
2. Rotate
3. RGB Array -> Convert to Image

I don't want to add loss to the image in the process of converting the file to RGB.

Perhaps there is a way to go through the following steps:

1. Image -> Quantization Array
2. Rotate
3. Quantization Array -> Image

Any good way?