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New nodes won't be created when 'types' plugin is defined.

Please look at this fiddle.
I'm unable to create new Nodes in the tree.
http://jsfiddle.net/z8L5r9w3/1/

$('#jstree').jstree(
"core" : 
 "check_callback" : true,
 "data" : [
 "text" : "Branch 1", "type" : "branch", "children" : [
 "text" : "leaf 1.1", "type" : "leaf" ,
 "text" : "leaf 1.2", "type" : "leaf" ,
 "text" : "leaf 1.3", "type" : "leaf" 
 ]
 ,
 "text" : "Branch 2", "type" : "branch", "children" : [
 "text" : "leaf 2.1", "type" : "leaf" ,
 "text" : "leaf 2.2", "type" : "leaf" ,
 "text" : "leaf 2.3", "type" : "leaf" 
 ]
 
 ]
,
 "types" : 
 "#" : 
 "valid_children" : ["branch"]
 ,
 "branch" : 
 "valid_children" : ["leaf"]
 ,
 "leaf" : 
 "valid_children" : []
 
 ,
"plugins" : ["types", "dnd", "contextmenu"]);

Also, you can override "contextmenu"

 "contextmenu":
 "items": function () 
 return 
 "Create": 
 "label": "Create",
 "action": function (data) 
 var ref = $.jstree.reference(data.reference);
 sel = ref.get_selected();
 if(!sel.length) return false; 
 sel = sel[0];
 type = ref.get_type(sel);
 if (type == "#")
 type = "branch";
 else if (type == "branch")
 type = "leaf";
 else if (type == "leaf")
 type = "";
 sel = ref.create_node(sel, text: "new "+type, type: type);
 if(sel) 
 ref.edit(sel);
 

 
 ,
 "Rename": 
 "label": "Rename",
 "action": function (data) 
 var inst = $.jstree.reference(data.reference);
 obj = inst.get_node(data.reference);
 inst.edit(obj);
 
 ,
 "Delete": 
 "label": "Delete",
 "action": function (data) 
 var ref = $.jstree.reference(data.reference),
 sel = ref.get_selected();
 if(!sel.length) return false; 
 ref.delete_node(sel);

 
 
 ;
 
 , 

You have a problem with "types". The "Create" action in the "contextmenu" does not know about the types of "branch" and "leaf" and create new node with "type" : "default".
You can see this:

 "types" : 
 "#" : 
 "valid_children" : ["branch", "default"]
 ,
 "branch" : 
 "valid_children" : ["leaf", "default"]
 ,
 "leaf" : 
 "valid_children" : []
 
 ,