so other process can use it

This is why there is a model repository, so you can query the last model created, or by name or tag or query the Task that created it and then via the Task the model and it's location.
This is a stable way to make sure your application code (the one using the model) will get to use stable models regardless of the training processes.
I would add a Tag to the model and then search based on the project and the tag, wdyt?