A 52-year-old man with acute myocardial infarction and cardiogenic shock is found to have metabolic acidosis (pH 7.28, HCO₃⁻ 14 mEq/L) and tissue hypoxia despite normal PaO₂ (95 mmHg) on supplemental oxygen. Which investigation would best assess the functional status of oxygen delivery and tissue oxygenation in this patient?

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