Deciding if opening with prayers is constitutional. I would say it will be 9-0.

...that the prayer is happening and is sooooooo important that it needs to happen before this other important business is decided.

5 And when you pray, do not be like the hypocrites, for they love to pray standing in the synagogues and on the street corners to be seen by others. Truly I tell you, they have received their reward in full. 6 But when you pray, go into your room, close the door and pray to your Father, who is unseen. Then your Father, who sees what is done in secret, will reward you.

I keep it, staying at Home.
...

-E. Dickinson

It is a suburb of Rochester..
I don't believe any public event that is tied in any way with government should have any prayer before, during or after.

Real 'prayer' is an act of practicing consciousness.
Praying, for example, before eating food was once intended to move one toward a state of 'self-awareness,' or 'consciousness', and to try to keep that state during the act of eating.

Nowadays it has just become-- "we thank 'you' for this food we are about to eat, Amen."
DIG IN!!! in total sleep.

Even 'Amen' has no more meaning.

your religious observances private?