Easy
On the frigate, just use "Apply Buff To target"
Where the buff is Buff one.
Now, creating an ability to provide a boost to crystal is a bit difficult.
I would sugest to make a series of crystal mines around the Gas Giant.
Give them the normal Nuetral Extractor ability, but with the modification that the mines are NOT capturable. (So a normal scout/colonizer can't capture them)
Then, Buff Two (as stated in my above post) would apply a new, Buff Three on ALL Planet Modules in the Gravity Well.
This Buff Three, spawns buff four on itself.
Buff Four has the finish Condion "Last Spawner No longer Has BUff" Where the buff in question is the NEW Nuetral Capturable Extractor Buff.
Where Buff Four than turns the extractor to the first spawner's player Index.
I see two possible problems. One, your not really mining the grav well. So the Lore doesn't really fit.
Two: I don't know if you can make a new Capturabel Neutral Extractor ability that ONLY applies to certain extractors and not others.
Anouther idea, that doesn't use the extractors.
Is, start at BUff Three. Instead of Buff Three being aplied to a planet module, ONE buff is applied a player ship in the grav well.
This new Buff three then Generates resources periodicly.
Problem with this, is that you always must have a ship in the gravity well.
Perhaps your frigate spawns a new frigate, without engines. A Gas Miner, that has this abiliy, and just sits there mining the gas planet.
