Add LUCID: regime-adaptive deconfounding for latent confounders

[fesanghary]

Summary

• Adds LUCID: regime-adaptive deconfounding for causal discovery under latent confounders, in a new causalts.confounders module. run_lucid() -> LucidResult, plus .deconfound() / .tetrad_filter() / .pds_filter() added to every CausalResult subclass (works on CDNOTS, CEDAR, GRACE, ... results, not just LUCID's own).
• LUCID diagnoses whether latent confounding is sparse or pervasive from the residual spectrum (against a Marchenko-Pastur no-factor null) and applies the matching correction. Both regimes run the same base discovery engine, so routing only changes the correction applied afterward — which is what makes .deconfound() valid for reusing an already-discovered graph from any algorithm.
• Adds causalts.synthetic_data.confounding.apply_confounding (needed by the test suite), a new "Unobserved Confounders (LUCID)" tutorial notebook + gallery entry, and an API doc page.
• Exports are added to causalts.__init__'s existing lazy (_LAZY_ATTRS) pattern rather than eager, since causalts.confounders pulls in statsmodels/scikit-learn, which plain import causalts doesn't currently load — keeping that path cheap is this file's whole design intent.

Test plan

• pytest tests/test_confounders.py -v — 35/35 pass
• pytest -q (full suite) — 308/308 pass, no regressions from the causalts/result.py / causalts/__init__.py / causalts/synthetic_data/__init__.py edits
• Notebook executes end-to-end (jupyter nbconvert --execute): 0 error cells, sane metrics (CDNOTS F1=0.172 -> tetrad F1=0.385 -> LUCID F1=0.556 on the same pervasive-confounding scenario); the committed notebook's baked-in outputs are byte-identical to what ships (confirmed clean, no stderr/warnings) — docs/conf.py sets nb_execution_mode = "off" so Sphinx renders exactly those saved outputs, not a fresh re-run
• Lint, matching this repo's exact CI invocation: black==24.* pinned (black --check .), isort --check ., flake8 . (with Flake8-pyproject installed, since flake8 needs it to read [tool.flake8] from pyproject.toml at all) — all clean; codespell clean (added one justified retuned ignore-word for a real word codespell mistakes for "returned")
• sphinx-build -b html docs docs/_build — succeeds; no new warnings beyond the pre-existing autoapi duplicate-object-description pattern already present for every other result class

[github-actions]

⚠️ Deprecation Warning: The deny-licenses option is deprecated for possible removal in the next major release. For more information, see issue 997.

Dependency Review

✅ No vulnerabilities or license issues or OpenSSF Scorecard issues found.

Scanned Files

None

[fesanghary]

Closing to redo with a corrected commit message that referenced an internal-only repo name. Reopening as a fresh PR.