Was the influx of Iranian-like CHG (caucasian hunter gatherer) across Anatolia into Greece & Southern Italy during the EBA (early bronze age) already admixed with Yamnaya or was it somehow more "pristine" at this stage?

I assume that the CHG would have mixed with whatever else was in Anatolia & Greece en route to Italy?

Also, isn't Iran Neo/CHG thought to be a component of Yamnaya, along with EHG & Ancient North Eurasian?