Donald, I wonder if you could respond in this thread?
You stated on Discord back in February last year that Livery/Innovation should work like Haggler/Innovation, and I agree. You didn't make a public decision about Livery then, but in April you had made the decision that Livery works differently than Haggler, but I don't see that you gave a good explanation.
I remind you that you previously
ruled that Silver/Merchant/Innovation works - which is equivalent to Livery/Innovation.
Haggler's when-buy ability, like Livery's when-gain, is limited by timing. Haggler only works from the moment it's in play, Livery from the moment it's played. In the Innovation scenarios, the gain/buy happened before Livery was played and before Haggler entered play. It's fine to rule that Livery/Innovation doesn't work, but then Haggler/Innovation should be reversed too.
And if Livery/Innovation does not work, neither can Hireling played at start of turn.* (The same goes for Prince, Lost in the Woods and Key played/taken at start of turn.)
A good model,
as described by Ingix, is that all abilities trigger when something happens, and then no more abilites trigger during the window: You gain a card - all 10 Sheepdogs and all 10 Duplicates in the game trigger, but only those Groundskeepers that you have in play, and only those Liveries that were already played. If a Moat finds its way to your hand in the window, or a Duplicate to your Tavern mat, you can resolve them - they already triggered. But a Groundskeeper that enters play in the window didn't trigger. The same goes for Liveries that get played in the window. (When buying a card, only those Hagglers that you have in play trigger.) At start of turn, all 10 Ratcatchers trigger, but only those Hirelings that have been played.
The other way is that abilities can trigger
during the window - Hagglers, Hirelings and Liveries...
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* "Start of turn" is a moment in time (not a phase), just like "when you gain a card". It happens right before you start playing Action cards. All abilities trigger at the same time, and then you choose which to resolve first, etc. In both cases, new abilities can be added during the window. I absolutely don't see how you can say that these two windows are different.