The best course of action would be leaving the broadcast out. It doesn’t make any tactical sense for Palpatine to spoil his survival, and the actual message is barely touched upon by the characters. The Resistance members at the briefing, like Rose and Ackbar jr, act and speak like they’ve just heard of Palpatine when it’s supposed to be trending news across the galaxy.
The thing is, Palpatine does send a live transmission boasting about the return of the Sith later in the movie. This happens in the early third act, just after Kijimi is destroyed. This makes the Fortnite broadcast redundant.
I don’t think the broadcast works in TLJ either. The best approach so far would be the one in “Rekindled”: be Palpatine reaching Kylo through the comms and saying “Find me”. It serves as a sequel hook (the original film kind of lacked one) and leads to Kylo’s quest at the beginning of TROS.