MAHOUT-801: Unify python package managers

[guan404ming]

Purpose of PR

Unify python package managers

• Replaced Poetry commands with uv sync and uv run
• Converted [project.optional-dependencies] to [dependency-groups] (uv native format)
• Changed build system from poetry-core to hatchling
• Updated all documentation, CI/CD workflows, and dev scripts
• Added override for numba/llvmlite to support Python 3.10-3.13 (required until amazon-braket-sdk updates)

Related Issues or PRs

Closes #801

Changes Made

• Bug fix
• New feature
• Refactoring
• Documentation
• Test
• CI/CD pipeline
• Other

Breaking Changes

• Yes
• No

Checklist

• Added or updated unit tests for all changes
• Added or updated documentation for all changes
• Successfully built and ran all unit tests or manual tests locally
• PR title follows "MAHOUT-XXX: Brief Description" format (if related to an issue)
• Code follows ASF guidelines

[guan404ming]

Thanks!