How can i display the primeng p-tree after filter selection in a breadcrumb format?

I am using primeng P-tree for displaying the nodes items for selection …

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and if i select random 4 …i am displaying parents and nested parent as well of the selected child as under image
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and after adding filtermode(true) to p-tree tag and i got search input to find node item in p-tree

and after search particular node item its filtering as needed as below image

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after selection of 4 , it is not displaying nested parent and child node items (2 and 4)…its displaying only parent node item (1) as below image

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I am attaching the stackblitz url for reference :- https://stackblitz.com/edit/primeng-treeselection-demo-m1dapf?file=src%2Fapp%2Fapp.component.html,src%2Fapp%2Fapp.component.ts

Please help me on these issue.

Thanks in advance.