Registry utilities for process discovery and naming within the Fact system.

Fact.Registry provides two related layers of process registration:

• the global Fact.Registry, which tracks running databases and exposes lookup helpers for resolving a database's Fact.Context by identifier or name
• database-specific registries, one per database instance, which are used for naming and locating processes that belong to that database.

The global registry stores:

• the Fact.Context for a database under both its :database_id and :database_name, and
• the :database_id under the :database_name.

Helper functions such as get_context/1 and get_database_id/1 provide convenient access to this information.

For database-local processes, this module exposes helpers like registry/1, via/2, and lookup/2, which construct or reference the appropriate database-specific Registry module for the given database_id. It also provides pubsub/1 and supervisor/1 to derive the corresponding PubSub and supervisor module names for that database.