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Two-level utilitarianism – "Two-level utilitarianism is a synthesis of the opposing doctrines of act utilitarianism and rule utilitarianism. Act utilitarianism states that in all cases the morally right action is the one which produces the most well-being, whereas rule utilitarianism states that the morally right action is the one that is in accordance with a moral rule whose general observance would create the most well-being. In terms of two-level utilitarianism, act utilitarianism can be likened to the 'critical' level of moral thinking, while rule utilitarianism can be likened to the 'intuitive' level."

Some relevant resources:

• Amid Israel-Hamas war, doctors at Gaza hospitals face heartbreaking choices "The situation had forced him into a series of terrible decisions over who would live or die. A few days ago, he said, he had to choose between two patients who needed dialysis, one of them a 90-year-old woman. “I gave her a little time with it, but I had to give priority to the younger person,” he said."
• Utilitarianism and the Measurement and Aggregation of Quality–Adjusted Life Years "maximise the number of QALYs generated – has often been equated with the utilitarian philosophy of maximising `the greatest happiness of the greatest number'. […] QALYs do not have to be aggregated according to the maximisation rule"
• Applying Two-level Utilitarianism and the Principle of Fairness to Mandatory Vaccination during the COVID-19 Pandemic: the Situation in South Korea "the intuitive principle that we should not use physical violence against others is a generally acceptable moral statement"
• Act and Rule Utilitarianism "Among the things that can be evaluated are actions, laws, policies, character traits, and moral codes"