Describe the bug

For queries that do have records, SqlDataReader.HasRows method returns false when the DB returns more than 1 InfoMessageToken, before sending a RowToken, HasRows assumes no records are left, and returns false even though it should have been true.

Using a db that returns two infomessages in the beginning is enough to reproduce the behavior.

string connectionString = "....";
var conn = new SqlConnection(connectionString);
conn.Open();

conn.InfoMessage += (sender, e) => Console.WriteLine(e.Message);

var cmd = conn.CreateCommand();
cmd.CommandText = "PRINT('1');SELECT * FROM t1";
using (var dr = cmd.ExecuteReader())
{
    Console.WriteLine($"HasRows: {dr.HasRows}"); // will return false if 2 infoMessages are sent by the DB.
    while (dr.Read())
    {
        Console.WriteLine(dr[0]);
    }

}

Expected behavior

HasRows shoud return true.

Additional context
When trying to identify the issue we encounter that this should probably be a while instead of an if statement.