meanwhile you can tell I don't watch a lot of things (I even included those where I only watched 1 or 2 episodes so it doesn't look too empty)

No matter the roads, the mountains or even the planet in their way... Yu-gi-oh will sell on nostalgia pandering

All in all, this is what makes this card truly... Annoying !

And of course, the second copy should not trigger the bonus effect, because then a card has only be sent from the hand. Which means that it must forget about previous cards immediately after the first chain has resolved, but before the second can begin.
There are various checks in the code for that.

So, if we just make it forget everything that has been sent, it will even forget what Amusi Annoyance sent. Making the second copy not able to trigger. Here is what the script looks like. (Raise event means that the effect can trigger)

The second is that... Amusi Annoyance triggers itself ! That's right, if a card is sent from your opponent's Deck to the Graveyard, the bonus effect is to send a card from the opponent's hand to the Graveyard.

It gets complicated because of 2 facts.
The first is that people can have multiple of Amusi Annoyance Set, but in Rush Duel, only 1 Trap card can be activated in response to the same action. So even if you have 2 of them Set, you will only be able to activate 1.

So the solution is this ! Each time a card is sent to the Graveyard, we look at that card and perform various check to decide after the effect has resolved if:
a. Amusi Annoyance can be activated
b. Its bonus effect should apply.

The end result would be that the owner of Amusi Annoyance would have to choose between 2 effects: one that triggers the optional effect, and another that does not. And not only does it not make sense, they also wouldn't be able to tell which one is which (because it's the same effect).

Because of this,we need to be able to look at where the cards were before being sent to the Graveyard
We would typically do that by using "EVENT_TOGRAVE" and then look at the previous location of the cards that triggered this event
But what if cards were sent from multiple places in the same chain ?

At first glance, Amusi Annoyance doesn't seem that complicated, but you have to account for the fact that chains do not exist in Rush Duels.
Not an issue in general, aside from the line that says "if you activated this card when a card was sent from the Deck to the Graveyard".

If you want a good example of a copy/paste monster, just look at the recently revealed "Archfiend's Manifestation". It's literally the same monster without the trigger effect.

Combine that with the fact that at resolution, the Dino has not been chosen yet in the Rush Duel version, and you end up with a much longer operation in that card.

(Also, for reference, the filters for the bounced monsters are slightly different)

2. Maximums exists !
Even though most Maximum monsters are high Level and thus hard to bounce with Tail Swipe, we still need to take them into account, and bounce the side pieces along with the Maximum monster.

(Operations are the thing that allow hand traps and counter traps to trigger for example).
Meanwhile, the Rush Duel version only needs to check that there is an appropriate card on your field. (For this one, the filters are actually the same in both versions)

1. Targeting is not a thing in Rush ! If you compare the scripts of the Master Rule card (on the left) with the Rush Duel card (on the right), you will see that the Master Rule does many more things before resolution, such as choosing the target, and setting up operations.