This is the 980th most frequent Czech word.
tamní
"Tamní" means "local" or "of that place" in English.
Here, 'tamní' is used as an adjective describing 'park', indicating that the park is located in the discussed or nearby area.
Tamní park je velmi krásný.
The local park is very beautiful.
In this sentence, 'tamní' qualifies 'culture', emphasizing the culture of the referenced place.
Obdivuji tamní kulturu.
I admire the local culture.
'Tamní' here describes 'dishes', specifying that they belong to the area being talked about.