And( q=> q.GroupedOr(...)) adds and (+) to the first term of the groupedOr about examine HOT 3 CLOSED

 var searcher = index.Searcher;
 var query = searcher.CreateQuery(IndexTypes.Content).NodeTypeAlias(TenderPage.ModelTypeAlias);

 if (!keyword.IsNullOrWhiteSpace())
 {
     //query.And(q => q
     //    .Field("__NodeTypeAlias", TenderPage.ModelTypeAlias)
     //    .Or()
     //    .GroupedOr(new[] { "nodeName" }, keyword.Boost(12))
     //    .Or()
     //    .GroupedOr(new[] { TenderPage.GetModelPropertyType(_publishedSnapshotAccessor, x => x.Authority)!.Alias }, keyword.Boost(10))
     //);

     query.And().Group(n => n
         .GroupedOr(new[] { "nodeName" }, keyword.Boost(12))
         .Or()
         .GroupedOr(new[] { "authority"}, keyword.Boost(10))
     );
 }

var searcher = index.Searcher;
var query = searcher.CreateQuery(IndexTypes.Content).NodeTypeAlias(TenderPage.ModelTypeAlias);

if (!keyword.IsNullOrWhiteSpace())
{
    query.And(q => q
        .GroupedOr(new[] { "nodeName" }, keyword.Boost(12))
        .Or()
        .GroupedOr(new[] { "authority" }, keyword.Boost(10))
        ,BooleanOperationOr
    );
}