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Longman Dictionary of Contemporary English
tied house
noun
EXAMPLES FROM CORPUS
▪ Even if it were to acquire Palatine, its North Western tied house stock would only increase to some 330.
Wiktionary
tied house

n. (context UK English) A public house which is either owned by a brewery, or other holding company, and run by a manager, or rented and run by a tenant, or perhaps contractually tied because of loans from a brewery, which therefore is obliged to purchase a certain percentage of it's stock from said pubco

Wikipedia
Tied house

In the United Kingdom, a tied house is a public house required to buy at least some of its beer from a particular brewery or pub company. That is in contrast to a free house, which is able to choose the beers it stocks freely.

A report for the UK government described the tied pub system as "one of the most inter‐woven industrial relationships you can identify in the UK, with multiple streams of payments running in both directions, from the pub tenant to the pubco and vice versa, generally negotiated on a pub‐by‐pub basis."