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Yes, you can create 3 separate styles with a filter that selects only the features you want styled. Or you can create one style with 3 rules each with a filter to select the required filters.
In the first case, you will see only on type of polygons at a time (unless you request the layer more than once); in the second case you will see all three types of ...
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Problem was found. No problem with CSS and GeoServer. Problem with datasource - PostgreSQL DB. Part of data was droped. So GeoServer can't render data which doesn't exist.
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