I don't smoke. I'm not sure which you believe is funny, the idea that the commanding heights of industry are publicly owned in large SOEs, or that the working class controls the state, but both are factually true and easily verified. For example, when looking at publicly owned industries, we can see the following:

Even checking Wikipedia, data from 2022 shows that the overwhelming majority of the top companies are publicly owned SOEs. This is China's strategy, they've been honest about it from the beginning. The private sector is about half cooperatives like Huawei or farming cooperarives and sole proprietorships, with the other half being small and medium firms. As these grow, they are folded into the public sector gradually. This is China's Socialist Market Economy.

As for the state being run by the working classes, this is also pretty straightforward. Public ownership is the principle aspect of the economy, and the CPC, a working class party, dominates the state. At a democratic level, local elections are direct, while higher levels are elected by lower rungs. At the top, constant opinion gathering and polling occurs, gathering public opinion, driving gradual change. This system is better elaborated on in Professor Roland Boer's Socialism in Power: On the History and Theory of Socialist Governance, and we can see the class breakdown of the top of the government itself:

Overall, this system has resulted in over 90% of the population approving the government, which is shown to be consistent and accurate. If you want to learn more, while not nearly as in-depth due to time limits as Roland Boer's work (and mostly focused on the Xi Jinping era), Red Pen's A Summary of Xi Jinping's Governance of China can be a good primer! There's also This is how China's economic model works: Explaining Socialism with Chinese Characteristics by Geopolitical Economy Report.