A 56-year-old woman is hospitalized for new-onset confusion. She has a history of decompensated hepatitis B cirrhosis with chronic ascites. Her medications are spironolactone, furosemide, lactulose, and entecavir.

On physical examination, temperature is 36.8 °C (98.2 °F), blood pressure is 118/62 mm Hg, pulse rate is 88/min, and respiration rate is 20/min; BMI is 23. She is disoriented to time and date. Asterixis is noted. The abdomen is moderately distended with ascites.

Laboratory studies reveal a serum bilirubin level of 2.9 mg/dL (49.6 µmol/L), a serum creatinine level of 1.3 mg/dL (114.9 µmol/L), and a blood urea nitrogen level of 34 mg/dL (12.1 mmol/L).

Diagnostic paracentesis reveals a nucleated cell count of 820/µL with 70% polymorphonuclear leukocytes. Gram stain and culture results are pending.

Which of the following is the most appropriate treatment?