Step 1: Brock's syndrome carries the alternative name middle lobe syndrome, which immediately points to the right middle lobe.
Step 2: The mechanism is compression of the right middle lobe bronchus by adjacent tuberculous hilar lymph nodes, usually a leftover from childhood primary TB. Because this bronchus is long and narrow with poor collateral ventilation, it collapses easily.
Step 3: Recurrent collapse and fibrosis eventually produce bronchiectasis localised to the middle lobe. The label is sometimes extended to repeated middle lobe atelectasis even when no clear obstruction is found.
Step 4: The remaining choices do not fit - sicca is dry upper-lobe bronchiectasis, Kartagener combines situs inversus with bronchiectasis and sinusitis, and sarcoidosis is granulomatous. So Brock's syndrome is middle lobe bronchiectasis.
\[\boxed{\text{Middle lobe bronchiectasis}}\]