You may want to consider having a conversation with the middle manager about how this meeting is ineffective and needs to be split into separate, more targeted meetings with smaller groups of individuals where delegates from each meeting eventually sync with one another to discuss findings. You say it is "scheduled daily because reasons" but do you know what those reasons are? Have you tried to understand the goals of the meeting from the organizer and suggest more efficient ways to get to that goal if you find the current mechanism wasteful?
If either you or they do not both have
1) The understanding of why this is necessary
2) How to go about it successfully
Congratulations! You are now the lucky owner of two problems. You (or perhaps your manager) have your work cut out for you. For what it's worth, I was having a conversation with another engineer on my team this week, and we both thought a lot about how actually tricky and yet high value this labor is. The truth is, probably nobody likes that the meeting has become so large and unwieldy. Everybody can probably sense that something is not working properly.
But nobody knows what to do. Or maybe, they're scared to take initiative. Will you be the person that steps in and tries to turn things around? I promise, it's usually easier than it looks!