Duplicate Automations and also copy Category, Labels and Name with an counter add

[GnomiBerlin]

Describe the feature

When duplicating an Automation the Category, the Labels and the name (with extension counter) should be copied.

Also mentioned from https://community.home-assistant.io/t/wth-are-labels-and-categories-not-copied-when-i-duplicate-an-automation/810026

Use cases

I copied Automations and they need to be categorized, named and added with Labels again.
It would preferred to use all from the duplicated original (may be with an option flag).
Category and Labels are 1:1 copied and the Name may get an extension "_1", "_2"....

This would allow little required changes, but the duplicated Automation is already in the right sorted/filtered category and possibly filtered Label.

Current workarounds

do all manually each time again

Anything else?

No response