Gain as extra & skill conversion

Simple question but seemingly I cannot find any info on it (there's plenty of info about SIMILAR ideas but I haven't found one specifically about this)

On tree there is gain 12% of PHYSICAL damage as extra cold

I do primary Physical damage

However I use Ice Strike which is a skill and thus goes first according to in-game description and converts my physical damage to cold

So does gain PHYSICAL as extra cold not work here because the skill goes first and converts it to cold, or does it indeed work allowing me to get extra cold on the base before the skill conversion?

The specific in-game text reads as follows:

"Damage Gain occurs in the same two step process as Damage Conversion"
&
"Conversion is a two step process. Conversion inherent to Skills occurs FIRST, then Conversion from other sources"

Since I'm converting my physical damage to cold via a skill, which goes first, does the gain phys as extra work on the pre-converted damage or post converted (I.e. is it worse than I think or does it give the full 12%)

Can you point to in the section of the poe2wiki that answers my question because I do not see it