About bitcoin taproot mutual satisfaction clause

Book mastering bitcoin 3rd edition, page 179.

In MAST and with scriptless multisignatures, a mutual satisfaction clause is easy to design. We simply make one of the top leaves of the script tree a scriptless multi signature between all interested parties. We already saw a complex contract between several parties with a simple mutual satisfaction clause in Figure 7-7. We could make that more optimized by switching from scripted multisignature to scriptless multisignature.

What is the mutual satisfaction clause in Figure 7-7? thanks.

Mutual satisfaction is a term that describes contract outcomes that all parties accept. There are three parties to the contract and a facilitating lawyer in this example. In this case, the mutually satisfactory outcomes are:

• First leaf: 2-of-3 participants can spend together
• Second leaf: After 30 days have passed, Lawyer can sign off on spend by single participant
• Third leaf: After 90 days have passed, Lawyer can move funds unilaterally to execute contract
• Key path: Usually P2TR outputs encode the keypath as "everyone agrees" on basis of a MuSig2 aggregate public key. If that’s the case in this example, this would offer a more economic and private spending option if 3-of-3 participants agree