That’s not to say that I think the Chinese Room Argument is convincing. I don’t think it is. Or, I guess it might demonstrate something, but not what it aims to show.
I would argue that if, say, the person who has memorized this program and mentally executes it, and if this program also includes actuating some levers to control a mech or something, and the program (running via the person mentally going through the instructions by rote) takes actions to pursue some goals (e.g. purchasing some wood by conversing in Chinese and building a tower with that wood), while the person on whom the program is running wouldn’t know how to order a cheeseburger in Chinese,
Then, the program running in that person’s head might well understand Chinese even though the person doesn’t. (Whether or not the program actually understands Chinese, I think probably depends on the specific of the program in ways that I don’t think anyone knows. I don’t expect that any program that would understand could be small enough that a human person could memorize it and execute it by rote in this way, but this is a thought experiment and such issues can be disregarded I think.)