• For the first question, as DotPathMap is based on the filesystem, it may not handle file or directory renaming or movements automatically. Once a module is renamed or moved to a different location, the mapper will lose track of it. If you are modifying the codebase, you would likely need to re-instantiate the DotPathMap to rebuild the map with the updated module structure.

• As for the second question, based on the provided information, it isn’t clear if DotPathMap directly supports live updates to namespace changes in the filesystem. Given that it’s reliant on the filesystem’s structure, it may not automatically track dynamic changes including module additions, deletions or modifications. Any such changes would likely require a re-instantiation to update the map.

• For the third question, a possible solution could be having a separate DotPathMap instance for each application that references the global module. However, it’s not stated explicitly how global or installation-wide modules are handled. This would likely depend on where these modules reside in the filesystem and how they’re referenced within individual applications. Changes to these global modules would need careful coordination to ensure all referencing applications update their instances of DotPathMap to reflect accurate paths.