Use American spelling for initialize and initialization

[tameware]

Summary

• Standardize on American initialize / initialization spelling in comments, specs, and the Python API.
• Rename the Python export initialise_static_memory to initialize_static_memory so it matches C++ InitializeStaticMemory. set_max_threads remains a deprecated alias and now points at the new name.

Test plan

• bazelisk test //python:python_interface_smoke_test
• bazelisk test //library/tests/system:max_threads_equivalence_test

Made with Cursor

[Copilot]

Pull request overview

This PR standardizes American spelling (“initialize” / “initialization”) across specs and API documentation, and updates the Python binding surface to expose initialize_static_memory in line with the C++ InitializeStaticMemory.

Changes:

• Rename the Python-exported binding from initialise_static_memory to initialize_static_memory, and update related documentation strings.
• Update specs, Bazel comments, and test comments to use American spelling consistently.
• Extend Python import smoke coverage to assert initialize_static_memory is present/callable.

Reviewed changes

Copilot reviewed 10 out of 10 changed files in this pull request and generated 2 comments.

Show a summary per file

File	Description
specs/python-binding.md	Updates the documented Python surface to reference initialize_static_memory.
specs/move-generation.md	Replaces “initialisation” with “initialization” in invariants text.
specs/lookup-tables.md	Standardizes “initialization” wording in lookup table lifecycle/contract spec.
python/tests/test_import.py	Adds import + callable assertion for initialize_static_memory.
python/src/bindings.cpp	Renames the exposed symbol and updates docstrings/deprecation text.
python/dds3/init.py	Re-exports initialize_static_memory via package imports and __all__.
library/tests/system/max_threads_equivalence_test.cpp	Standardizes spelling in test header/comments.
library/tests/system/BUILD.bazel	Standardizes spelling in target comment.
library/src/init.cpp	Standardizes spelling in internal comments for initialization.
library/src/api/dll.h	Standardizes spelling in public C API documentation comments.

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