[Bug Report][3.7.8] Can't add node to treeview

[digitalniweb]

Environment

Vuetify Version: 3.7.8
Vue Version: 3.5.13
Browsers: Firefox 134.0
OS: Windows 10

Steps to reproduce

I don't know if it is a bug, but it looks so. I found it by wanting to change orders and locations of nodes (leafs). But you can't even add a node anywhere but last position (where it doesn't throw the warning). The functionality works, but the warning is thrown, so I don't know what else breaks. I found workaround by adding :key="treeViewKey" to the treeview where treeViewKey is a number which I increment on every change.
The warning:
[Vue warn]: Vuetify error: Multiple nodes with the same ID

Expected Behavior

not throwing warning

Actual Behavior

throws warn [Vue warn]: Vuetify error: Multiple nodes with the same ID

Reproduction Link

https://play.vuetifyjs.com/#...