The text of Simulacrum states:
[The Simulacrum] appears to be the same as the original, but it has half the creature's hit point maximum and is formed without any equipment. Otherwise, the illusion uses all the statistics of the creature it duplicates, except that it is a construct.
That seems pretty straightforward for things like ability scores, proficiency bonuses, and size categories (although I'm not 100% sure whether a simulacrum of a caster under the effect of Enlarge would be permanently enlarged or not). It also seems straightforward for things like Armor Class, which are determined by equipment that the simulacrum explicitly doesn't have.
What I'm uncertain about are effects like the Fates card from the Deck of Many Things. The card's text states:
Reality's fabric unravels and spins anew, allowing you to avoid or
erase one event as if it never happened. You can use this card's
magic as soon as you draw the card or at any other time before you
die.
So, is the ability to erase an event a "statistic"? Or is it "the card's magic," ie the effect of magical equipment which would not be duplicated by Simulacrum?
Best Answer
Rules as written: shrugs.
This is a great question, and exactly the kind of question to ask the DM before you try it. The guidance on "what is a game statistic" is pretty clear for monsters, and much less clear for player characters. In this answer, I outlined what I believe is the full extent of the guidance available for what counts as game statistics for player characters:
There isn't much to go off of here. We simply do not have adequate guidance to make a ruling with solid rules support. In this answer, Rubiksmoose outlines all of the guidance for NPC/Monster statistics, of which there is quite a bit. But, the section Rubiks provides for PCs is quite short:
I think this is probably the right ruling, and it does a good job of telling what is included, but an definitive method of determining what is not included is not given, as far as I can tell.
Reductio ad absurdum: working backwards to a ruling from what is possible if we permit this.
However, I think we can arrive at a satisfying ruling by considering the consequences of allowing the Fates card's effect to be copied to a simulacrum. We know that rules as written, we can create an arbitrarily large army of simulacra given the time to do so. Ergo, if we allow the Fates card's effect to propagate to an army of simulacra, we would be able to erase an arbitrarily large number of events from history.
As a DM making a ruling, ask yourself: is this kind of reality breaking possible in my universe? If not, then the Fates card's effect doesn't transfer to simulacra.
In the end, as with all world changing shenanigans, the players and the DM should work out together how they shape the world.