In mip00.sol the deploy and configuration proceedure for the TemporalGovernor is detailed:
https://github.com/code-423n4/2023-07-moonwell/blob/main/test/proposals/mips/mip00.sol#L103-L109
new will invoke the CREATE opcode. This only relies on the msg.sender and nonce. Since the deploy call executes a certain amount of calls when it executes the deploy of TemporalGovernor it will have certain nonce. Hence the address of TemporalGovernor will be dependent on the account that executes it. If this is run by a new account the address of TemporalGovernor can be the same if it is executed by the same new account on another chain.
This is important because if two TemporalGovernor contracts on different chains gets the same address they can execute each others proposals:
https://github.com/code-423n4/2023-07-moonwell/blob/main/src/core/Governance/TemporalGovernor.sol#L320-L322
Pay attention to which accounts and how the execution of the deploy script is done. Perhaps use CREATE2 with a random salt to deploy TemporalGovernor to guarantee it gets a different address on each chain.
