This is the 7209th most frequent Russian word.
венецианская
"Venetian" (related to Venice, Italy).
Here, 'венецанская' is an adjective describing the noun 'республика' (republic), referring to the Republic of Venice.
Венецианская республика была могущественной державой.
The Venetian Republic was a powerful state.
In this sentence, 'венецанская' modifies the noun 'маска' (mask), indicating a mask originating or styled like those from Venice.
Ее венецианская маска была украшена золотом и перьями.
Her Venetian mask was adorned with gold and feathers.
Here, 'венецанская' describes the noun 'традиция' (tradition), linking it to Venice, known for its glassmaking heritage.