Damage Conversion Priority

This question is specifically for the new gloves in the next league "Triad Grip"

Minions convert 25% of Physical Damage to Fire Damage per Red Socket
Minions convert 25% of Physical Damage to Cold Damage per Green Socket
Minions convert 25% of Physical Damage to Lightning Damage per Blue Socket
Minions convert 25% of Physical Damage to Chaos Damage per White Socket

Say I use use Lunaris Concubine specter (https://poedb.tw/us/mon.php?n=Lunaris+Concubine) which already does 50% conversion to cold. My goal is to be at 100% cold, but 4 green sockets would be hard to run, so it would be 3 green and 1 other color (red or white).

There are many other specters that do a base 50% conversion, so the main question is how does the remaining 50% get handled by the gloves?

Is there a priority, an override or will it be a sum average?

For the most part, the wiki has you covered:

https://pathofexile.gamepedia.com/Damage_conversion

"

If the combined value of all converted to modifiers for a given damage type is greater than 100%, the values are scaled so that the total is 100%.[2]

...

Conversion from skill gems (both active and support skill gems) take priority over conversion from other sources (such as equipment), and is not scaled. The game does not distinguish between damage converted by passives and by gear; this may be of some importance when dealing with Avatar of Fire.[3]

Unfortunately I don't know for sure if the Lunaris Concubine's conversion counts as a "Skill Gem" conversion (my guess: no) or if it counts as "passives and by gear" (my guess: yes)

So, depending:

My guess: 50% + 75% = 125% cold-contribution; 25% non-Cold contribution; 150% total contribution
125/150 = 83.3% cold Conversion; 25/150 = 16.7% non-Cold conversion

If, by some miracle, the spectre's native conversion counts as "skill gem" conversion:
50% + (75% * 50%) = 87.5% Cold conversion; 25% * 50% = 12.5% non-Cold conversion