Upgrade @metamask/message-manager to version 13.0.0

A new major version of `@metamask/message-manager`, 13.0.0, is now available. This issue has been assigned to you and your team because you code-own this package in the `core` repo. If this package is present in this project, please prioritize upgrading it soon to unblock new features and bugfixes.

No file, test, or entry point is named. First verify whether @metamask/message-manager is present in this project, then inspect the package's current usage and compatibility with version 13.0.0. Done means the dependency is upgraded and the relevant project checks pass without regressions.

Written by the indexing model from the issue text.