A general purpose internal politics move to navigate a thing that people could freak out about: bring it up in 1:1 before sharing it in a group meeting.
When people are surprised by negative (or even ambiguous) information in front of other people, there's a chance they'll freak out, they feel out of control.
If you brief everyone before the group meeting individually, everyone will have enough information to not freak out.
People know that they were briefed behind closed doors.
They might even feel special that they were in the loop before the official announcement.
But because everyone else was briefed behind closed doors, they don't see each other's briefing.
It can feel like they're special, even if everyone got a briefing.
Briefing everyone before is easy if you have recurring 1:1s.
Just put an agenda item for each 1:1.
Once everyone is briefed, you can bring it up at the team meeting.
This means that you can bring it up as quickly as the longest 1:1 recurrence schedule.
If you don't have a 1:1 with one of the members you have to hope they will be OK with it (a bit of a leap of faith), or will see that a critical mass of others are OK with it and be OK, too.