Hello, LeizylM san
Thank you for giving me the links.
But I'm still confused. Could you tell me the points followings?
-Could you tell me which page shows QB pro 2022 has budget system?
-Could you tell me which page shows the difference between budget and forecast?
Thanks for getting back to this thread, @system. Let me chime in and clarify things for you about budgeting and forecasting in QuickBooks Desktop.
For your first question, you can see in the article provided by the previous agents that the budget system is possible in QuickBooks Desktop Pro 2022. It may not show a specific product, but the page provides general information that all versions of QuickBooks Desktop can set up and create a budget. Meanwhile, you can only use forecasting in QuickBooks Desktop Premier, Accountant, or Enterprise.
Aside from that, I've also replicated this on my QuickBooks Desktop Pro 2022, and the feature is available. Please see the screenshot below:

For your next question, the simplest way to differentiate the two is that a budget is a goal or intention, while a forecast is your latest prediction of whether you’ll reach that goal. For more information about the distinction of the two terms, you may utilize and read this resource: Budgeting Versus Forecasting.
Additionally, I've added this article to help you generate a budget report to help you track and review last fiscal year's financial statement: Understand reports in QuickBooks Desktop.
I hope that clarifies everything. If you still have uncertainty about the budget and forecast feature, feel free to get back to this thread. I'll be happy to help you again. Keep safe!