Update bambi dependency to 0.16 and added support for Python 3.13

[digicosmos86]

The following changes were made in this PR:

1. Updated bambi dependency to 0.16
2. Updated model.sample() method to be consistent with the inference_method argument of bmb.Model.fit() method
3. Updated tests and documentation to reflect this change
4. Now that bambi supports Python 3.13, HSSM now supports Python 3.13
5. Updated ci workflows to support Python 3.13
6. Default workflow Python version is now pinned to Python 3.13 for best performance

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Pull request overview

This PR updates HSSM to support bambi 0.16 and adds Python 3.13 compatibility. The main changes involve migrating from old sampler naming conventions (e.g., "mcmc", "nuts_numpyro", "nuts_blackjax") to the new bambi 0.16 API (e.g., "pymc", "numpyro", "blackjax"). The PR includes backward compatibility support with deprecation warnings for old sampler names.

Key Changes:

• Updated bambi dependency constraint from 0.15.x to 0.16.x and PyMC to 5.26.0+
• Renamed sampler parameters throughout codebase to match bambi 0.16 API (e.g., "nuts_numpyro" → "numpyro", "mcmc" → "pymc")
• Added Python 3.13 support across project configuration and CI workflows

Reviewed changes

Copilot reviewed 31 out of 31 changed files in this pull request and generated 5 comments.

Show a summary per file

File	Description
src/hssm/hssm.py	Core implementation changes including sampler name mapping, deprecation warnings, and updated API logic
pyproject.toml	Updated dependencies (bambi 0.16.x, pymc 5.26.0+) and added Python 3.13 classifier
tests/*.py	Updated all test files to use new sampler names (pymc, numpyro instead of mcmc, nuts_numpyro)
docs/tutorials/*.ipynb	Updated all tutorial notebooks with new sampler names and execution counts reset to null
.github/workflows/*.yml	Added Python 3.13 to test matrix and updated default Python version to 3.13
.github/setup-env*/action.yml	Updated GitHub Actions versions (setup-python@v6, checkout@v6, setup-uv@v7)

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[cpaniaguam]

lgtm. Left a couple of observations.