this problem appears on my own project, but also in the demo (https://primefaces.org/primevue/tree):
As soon as you click on a tree node and it gets the focus, the browser hotkeys (e.g. command+p for "print page", command+r for "reload page") stop working.
After clicking in the body outside the tree, they work again.
I guess, they "swallow" the key presses, even for global browser keys.
Maybe someone knows a workaround or can help.
* Mac OSX Monterey 12.4
* current Chrome (103.0.5060.114)
* current PrimeVue
Edit: Now also confirmed on Windows in Chrome.