Soru

A $62$-year-old woman presents to the emergency department with a sudden onset of right-sided chest pain that worsens with deep inspiration, accompanied by severe shortness of breath. Her symptoms started $2$ hours ago. She recently returned from a $12$-hour international flight. Her medical history includes hypertension and osteoarthritis. She takes amlodipine and acetaminophen.

Upon evaluation, her temperature is $37.2^\circ\text{C}$ ($99.0^\circ\text{F}$), blood pressure is $118/76\text{ mmHg}$, pulse is $118/\text{min}$, and respiratory rate is $26/\text{min}$. Oxygen saturation is $89\%$ on room air. Physical examination reveals clear lung fields bilaterally with no wheezing or crackles. Cardiac examination shows a regular, rapid rhythm with no murmurs, rubs, or gallops. The right calf is mildly swollen and tender to palpation compared to the left.

An arterial blood gas analysis on room air reveals:
pH: $7.52$
$\text{PaCO}_2$: $26\text{ mmHg}$
$\text{PaO}_2$: $60\text{ mmHg}$
$\text{HCO}_3^-$: $21\text{ mEq/L}$

Which of the following is the most appropriate next step in management?