Python: Fix ag-ui examples packaging for PyPI publish

[moonbox3]

Motivation and Context

With the latest attempts to expose the ag-ui examples via the PyPI package, things are still not working correctly - even though installing the package locally via uv worked. To finally fix things, this PR renames the examples to agent_framework_ag_ui_examples so that it can properly be included with the package publishing.

Mostly renaming in the PR, and a version bump. I built the wheel, and brought it into the AG-UI branch I am working on, and am able to properly use the examples.

Note: although there are renames, this isn't technically breaking because examples were never properly published/accessed.

Description

Fix ag-ui examples publishing.

Contribution Checklist

• The code builds clean without any errors or warnings
• The PR follows the Contribution Guidelines
• All unit tests pass, and I have added new tests where possible
• Is this a breaking change? If yes, add "[BREAKING]" prefix to the title of the PR.

[markwallace-microsoft]

Python Test Coverage Report •

File	Stmts	Miss	Cover	Missing
TOTAL	12822	1911	85%

report-only-changed-files is enabled. No files were changed during this commit :)

Python Unit Test Overview

Tests	Skipped	Failures	Errors	Time
1698	107 💤	0 ❌	0 🔥	32.440s ⏱️

[Copilot]

Pull Request Overview

This PR reorganizes the AG-UI examples into a proper Python package structure that can be distributed with the main agent-framework-ag-ui package. The package version is bumped to 1.0.0b251106.post1 to reflect this change.

• Moves example code from examples/ to agent_framework_ag_ui_examples/ package
• Updates the build configuration to include the examples package in the wheel distribution
• Adds proper package structure with __init__.py and __main__.py for module execution

Reviewed Changes

Copilot reviewed 1 out of 21 changed files in this pull request and generated no comments.

Show a summary per file

File	Description
python/uv.lock	Updates locked version to 1.0.0b251106.post1
python/packages/ag-ui/pyproject.toml	Bumps version and changes package configuration from force-include to standard packages list
python/packages/ag-ui/agent_framework_ag_ui_examples/server/main.py	FastAPI server implementation with all AG-UI example endpoints
python/packages/ag-ui/agent_framework_ag_ui_examples/server/api/backend_tool_rendering.py	Backend tool rendering endpoint registration
python/packages/ag-ui/agent_framework_ag_ui_examples/server/api/__init__.py	API endpoints package initialization
python/packages/ag-ui/agent_framework_ag_ui_examples/server/__init__.py	Server package initialization
python/packages/ag-ui/agent_framework_ag_ui_examples/agents/weather_agent.py	Weather agent demonstrating backend tool rendering
python/packages/ag-ui/agent_framework_ag_ui_examples/agents/ui_generator_agent.py	UI generator agent for tool-based generative UI
python/packages/ag-ui/agent_framework_ag_ui_examples/agents/task_steps_agent.py	Task steps agent with streaming state updates and step execution simulation
python/packages/ag-ui/agent_framework_ag_ui_examples/agents/task_planner_agent.py	Task planner with human-in-the-loop approval workflow
python/packages/ag-ui/agent_framework_ag_ui_examples/agents/simple_agent.py	Basic chat agent example
python/packages/ag-ui/agent_framework_ag_ui_examples/agents/research_assistant_agent.py	Research assistant with async tools
python/packages/ag-ui/agent_framework_ag_ui_examples/agents/recipe_agent.py	Recipe agent with shared state management
python/packages/ag-ui/agent_framework_ag_ui_examples/agents/human_in_the_loop_agent.py	Human-in-the-loop agent with step customization
python/packages/ag-ui/agent_framework_ag_ui_examples/agents/document_writer_agent.py	Document writer with predictive state updates
python/packages/ag-ui/agent_framework_ag_ui_examples/agents/__init__.py	Exports all example agents
python/packages/ag-ui/agent_framework_ag_ui_examples/__main__.py	Module entry point for running the server
python/packages/ag-ui/agent_framework_ag_ui_examples/__init__.py	Package initialization
python/packages/ag-ui/agent_framework_ag_ui_examples/README.md	Comprehensive documentation for the AG-UI integration
python/packages/ag-ui/agent_framework_ag_ui_examples/.vscode/settings.json	VS Code Python path configuration
python/packages/ag-ui/agent_framework_ag_ui_examples/.env.example	Environment variable template