Sorry newbie here so the terminology might be confusing.
Please correct me if I did not understand this correctly

Can I use multisig wallets to authorize two transactions at once?
The reason to do this would be to be me (M) and my transaction partner (P) to be our own escrow agent.

We could both deposit an amount A to a 2-2 multisig wallet (E)


M => E authorized by M
P => E authorized by P

Then after everything is ok, both parties could confirm the withdrawal of  to both parties' wallet

(
  E => M
  E => P
 )
authorized by M and P

Is such a setup possible?