How do we know that God is not willing for everyone to be saved?

Understanding God's sovereign will in relation to salvation illuminates the truth that He is not willing for every individual to be saved. 2 Peter 3:9 is often misinterpreted to suggest that God desires all humans to repent; however, in its proper context, this verse speaks specifically to those He has chosen as 'beloved.' The analogy of the Flood where only Noah and his family were saved demonstrates that God's willingness to save is not universal. Moreover, when examining God's actions throughout Scripture, such as upon judgment day, it becomes evident that He has not shown the same grace towards all. In demonstrating His sovereignty, God is long-suffering towards His chosen, hence making a distinction. God's plan is meticulously designed, providing salvation to those whom He foreknew and predestined.