<after [amount] turns> seems to only apply to Global turns about unciv HOT 5 CLOSED

The meaning of this conditional is "after X global turns", not a bug.
I agree it would be better phrased as "After turn [amount]", that's a change we can make

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If I may add an opinion - for grammatical clarity, "After turn number [x]" would clearly disambiguate the intent.

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activate the UnitTriggerable based on the number of turns the unit has appeared in the game

Seems a very valid intent to me. Regrettably, we don't have the data. A MapUnit doesn't know how old it is. Maybe we should add that now, unused, so we can enable something like "Tadpole: Lives only 5 turns, then transforms into a Frog, whether it wants to or not" later, when most saves out there have the field...

"After turn number [x]"

Best version. And we should. Is that thing new enough nobody is using it yet so we can ditch all the deprecation effort?

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Nope, deprecation as usual

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"Tadpole: Lives only 5 turns, then transforms into a Frog, whether it wants to or not"

Yeah, i want to give my units special abilities like buff with cooldown or transformation for a few turns. Maybe i can just use the promotion system but its still very limited

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