Step 1: Work out where the bleed is coming from.
The lung has two blood supplies. The pulmonary arteries carry deoxygenated blood at low pressure for gas exchange. The bronchial arteries are branches of the aorta or intercostal arteries, carry oxygenated blood at high, systemic pressure, and feed the airway walls and lung tissue.
Step 2: Link this to tuberculosis.
In tuberculosis, chronic inflammation and cavity formation cause the bronchial arteries to grow larger and more numerous. These fragile, high-pressure vessels erode into the cavity wall and are the source of bleeding in about 90 percent of massive hemoptysis cases, TB being one of the classic causes.
Step 3: Connect this to the treatment plan.
Bronchial artery embolization is the first-line angiographic treatment for massive or recurrent hemoptysis. Before embolizing, the interventional radiologist must first catheterize and evaluate the bronchial arteries on angiography to find the abnormal, hypertrophied vessel and any extravasation.
Step 4: Rule out the other options.
The pulmonary artery is a low-pressure vessel and is only rarely the bleeding source, mainly in Rasmussen aneurysm or pulmonary artery pseudoaneurysm, which are uncommon. The pulmonary vein carries blood back to the heart and does not bleed into the airway. The superior vena cava is a large systemic vein with no direct role in hemoptysis.
Step 5: Final answer.
Since the bronchial arteries are the vessels most often responsible for the bleed and the ones embolized for treatment, they must be evaluated first.
\[ \boxed{\text{Bronchial artery}} \]