How to do a double left outer join in Linq query syntax(or fluent)

var Claim   = new[] {   new { ClaimId = 10, Desc = "item 10" },
    new { ClaimId = 11, Desc = "item 11" },
    new { ClaimId = 12, Desc = "item 12" },
    new { ClaimId = 13, Desc = "item 13" }};
var Insured = new[] {   new { ClaimId = 10, IsPolicyHolder = true, IsInsured = true, Forename = "10A Pol TRUE Ins TRUE NoSiblings" },
    new { ClaimId = 11, IsPolicyHolder = true, IsInsured = false, Forename = "11A Pol TRUE Ins false NoSiblings" },
    new { ClaimId = 12, IsPolicyHolder = false, IsInsured = true, Forename = "12A Pol false Ins TRUE NoSiblings" },
    new { ClaimId = 13, IsPolicyHolder = true, IsInsured = false, Forename = "13A Pol TRUE Ins false has sibling" },
    new { ClaimId = 13, IsPolicyHolder = false, IsInsured = true, Forename = "13B Pol false Ins TRUE has sibling" }};

    Insured.Dump("Insured Table");

var leftJoinTry =
    from in1 in Insured where in1.IsPolicyHolder == true
    join p in Insured on in1.ClaimId equals p.ClaimId into ps 
    //where ps.IsInsured == true   ****ERROR****
    from p in ps.DefaultIfEmpty()
    select new { in1.ClaimId, in1.IsPolicyHolder, in1.IsInsured, in1.Forename, p_Forename = p.Forename};
leftJoinTry.Dump("leftJoinTry");    

var initialResults = from c in Claim
join pa in Insured on c.ClaimId equals pa.ClaimId where pa.IsPolicyHolder == true
join pb in Insured on pa.ClaimId equals pb.ClaimId where pb.IsInsured == true
select new { c.ClaimId, pa_Forename = pa.Forename, pb_Forename = pb.Forename, };

initialResults.Dump("initialResults");

var query =
    from in1 in Insured where in1.IsPolicyHolder == true
    join p in Insured on in1.ClaimId equals p.ClaimId into ps 
    //where ps.IsInsured == true
    from p in ps.DefaultIfEmpty()
    select new { Category = in1, ProductName = p /*== null ? "(No products)" : p.Forename*/ };
query.Dump("query");

The above in Linq pad gives the following result sets

Note that the database used has a primary key of ClaimId(int) and IsPolicyHolder(bool), and there is a constraint that either of the fields IsPolicyHolder or IsInsured must be True.

What I actually want is all the records with IsPolicyHolder and IsInsured being True, and where there is one with IsPolicyHolder is True and IsInsured is False and the same ClaimId with IsPolicyHolder is False and IsInsured is True that the record be combined as ClaimId 13 below. Note that any record with no other ClaimId siblings which have one of IsPolicyHolder and IsInsured set at False and the other at True must also be included and set the unknown Forename(Italics below) to the known Forename(Bold below).