osmium to extract admin and education institutes

Could you guys please help me on forming the osmium command to extract all the admin places and educational institutes? I mean all the extracts mentioned in Nominatim import-admin.style ( the below keys) and educational places.

I came up with this one, but not sure if it includes wiki data and other things mentioned in the import-admin.style, and also for boundary do we have to mention place?

Command I came up with

osmium tags-filter planet.osm.pbf amenity=university,school,college,kindergarten place=*  boundary=administrative,postal_code,place,political   o place_edu.osm.pbf

import-admin.style

[
{   "keys" : ["wikipedia", "wikipedia:*", "wikidata"],
    "values" : {
        "" : "extra"
    }
},
{
    "keys" : ["*:prefix", "*:suffix", "name:prefix:*", "name:suffix:*",
              "name:etymology", "name:signed", "name:botanical", "*:wikidata",
              "addr:street:name", "addr:street:type"],
    "values" : {
        "" : "skip"
    }
},
{
    "keys" : ["ref", "int_ref", "nat_ref", "reg_ref", "loc_ref", "old_ref",
              "iata", "icao", "pcode", "ISO3166-2"],
    "values" : {
        "" : "ref"
    }
},
{
    "keys" : ["name", "name:*", "int_name", "int_name:*", "nat_name", "nat_name:*",
              "reg_name", "reg_name:*", "loc_name", "loc_name:*",
              "old_name", "old_name:*", "alt_name", "alt_name:*", "alt_name_*",
              "official_name", "official_name:*", "place_name", "place_name:*",
              "short_name", "short_name:*", "brand"],
    "values" : {
        "" : "name"
    }
},
{
    "keys" : ["landuse"],
    "values" : {
        "cemetry" : "skip",
        "" : "fallback,with_name"
    }
},
{
    "keys" : ["boundary"],
    "values" : {
        "administrative" : "main"
    }
},
{
    "keys" : ["place"],
    "values" : {
        "" : "main"
    }
},
{
    "keys" : ["country_code", "ISO3166-1", "is_in:country_code", "is_in:country",
              "addr:country", "addr:country_code"],
    "values" : {
        "" : "country"
    }
},
{
    "keys" : ["addr:*", "is_in:*", "tiger:county"],
    "values" : {
        "" : "address"
    }
},
{
    "keys" : ["postal_code", "postcode", "addr:postcode",
              "tiger:zip_left", "tiger:zip_right"],
    "values" : {
        "" : "postcode"
    }
},
{
    "keys" : ["capital"],
    "values" : {
        "" : "extra"
    }
}
]