[Bug Report][3.6.4] V-Menu Persistent Parent Closed by Child

[noahbare]

Environment

Vuetify Version: 3.6.4
Vue Version: 3.4.27
Browsers: Chrome 123.0.0.0
OS: Windows 10

Steps to reproduce

• Create a parent v-menu with persistent set to true and close-on-content-click set to false (activator method does not seem to matter)
• Inside of this menu, create a new nested menu (in the reproduction link's case a menu to select a date)
• Notice that when the child menu closes from an outside click, it closes our parent menu, even though it has the persistent prop set to true.

Expected Behavior

If I've set a menu to persistent (defined in the docs as "Clicking outside of the element or pressing esc key will not deactivate it."), then I expect it to remain open even if a child menu closes.

Actual Behavior

Even with persistent set to true on a parent menu, the entire menu closes when a child component is closed via outside click.

Reproduction Link

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

Other comments

This is similar to #17004 which was fixed by #19239. This fix only addressed clicking on the parent content, but does not account for a parent component being persistent.