A 44-year-old woman is evaluated in follow-up after multiple recent emergency department visits for worsening asthma. She has had asthma since childhood, but her asthma symptoms have progressively worsened recently. Over the past 2 years, she has had twice-yearly visits to the emergency department requiring treatment with prolonged glucocorticoid tapers. She has required hospitalization twice within the last 4 months. She has no symptoms of gastroesophageal reflux, sinus disease, or other symptoms, and she diligently avoids environmental exposures and likely triggers. Medical history is significant for multiple allergies; skin testing has been positive for allergy to dust mites, cats, and ragweed. She is a never-smoker. Medications are a high-dose inhaled glucocorticoid, a long-acting β2-agonist, a leukotriene antagonist, a long-acting anticholinergic agent, and an as-needed short-acting β2-agonist.

On physical examination, vital signs are normal. BMI is 26. Slightly puffy facies are noted. The lungs reveal decreased air movement and mild, diffuse wheezes. Skin fragility is observed on the arms. The remainder of the examination is unremarkable.

Laboratory studies show a serum IgE level of 362 U/mL (362 kU/L) and 6% eosinophils on peripheral blood smear.

Which of the following is the most appropriate treatment?