I'll offer the thing you need to learn is to not give a shit. It helps to remind yourself your getting paid the same no matter what.
Beyond that, if you've got something important to point out that others are missing then you can jump in with a dominant attitude and make the point quickly and then sit back and fade away and let the conversation go where it will.
Timing is important but starting with something like "I think we need to consider..." or "you're missing something important here" loud enough to be heard can draw the focus to you quickly.
Once you've made your point stop talking. It will either be ignored, dismissed, or discussed. If they ask you to expand give them all you got but don't get frustrated if it gets ignored or dismissed. Bring it up again in a private conversation later with whomever really needs to know and give them time to let it sink in.
If someone cuts you off you can always pop back in by starting with something like "We still need to consider..."
Back to not giving a shit. You do your best work no matter what. That's what you get paid for, but you do the work the way they want it done and don't take it personal if they ignore you when you know have a better way. That really doesn't have to matter to you at all.
This reminds me of a "rule" I've heard from TV series writers. They operate with a dozen people locked up in a large writing room for the whole day. Their job is literally to "say one thing in the morning, and one thing in the afternoon". That's it. They don't have to say any more than that, but they better damn make sure that when they open their mouth, what they're going to say is worth the other folks' time to hear. They can always say more, but people aren't paid by the number of words they say in meetings, and in fact speaking too much can really burn someone with the other writers if they keep hogging the floor to say things that aren't the most insightful in the world.
I feel that's a useful test to use as well before talking in a meeting: is what I'm about to say something that really needs to be said here and now?
Beyond that, if you've got something important to point out that others are missing then you can jump in with a dominant attitude and make the point quickly and then sit back and fade away and let the conversation go where it will.
Timing is important but starting with something like "I think we need to consider..." or "you're missing something important here" loud enough to be heard can draw the focus to you quickly.
Once you've made your point stop talking. It will either be ignored, dismissed, or discussed. If they ask you to expand give them all you got but don't get frustrated if it gets ignored or dismissed. Bring it up again in a private conversation later with whomever really needs to know and give them time to let it sink in.
If someone cuts you off you can always pop back in by starting with something like "We still need to consider..."
Back to not giving a shit. You do your best work no matter what. That's what you get paid for, but you do the work the way they want it done and don't take it personal if they ignore you when you know have a better way. That really doesn't have to matter to you at all.