Python: [BREAKING] Update naming of AgentRunResponse to AgentResponse

[eavanvalkenburg]

Motivation and Context

In line with dotnet, renaming AgentRunResponse to AgentResponse and AgentRunResponseUpdate to AgentResponseUpdate

Description

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.

[Copilot]

Pull request overview

This pull request implements a breaking change to rename AgentRunResponse to AgentResponse and AgentRunResponseUpdate to AgentResponseUpdate across the Python codebase to align with the .NET implementation naming conventions.

Changes:

• Renamed core types AgentRunResponse → AgentResponse and AgentRunResponseUpdate → AgentResponseUpdate
• Updated all imports, type annotations, and references across the entire Python codebase
• Updated documentation strings, comments, and examples to reflect the new naming

Reviewed changes

Copilot reviewed 121 out of 121 changed files in this pull request and generated no comments.

Show a summary per file

File	Description
python/packages/core/agent_framework/_types.py	Core type definitions renamed with updated class names, docstrings, and serialization type strings
python/packages/core/agent_framework/_agents.py	Updated agent protocol and ChatAgent implementation with new type names
python/packages/core/agent_framework/_middleware.py	Updated middleware context and pipeline to use new type names
python/packages/core/agent_framework/observability.py	Updated tracing decorators and helper functions
python/packages/core/agent_framework/_workflows/*.py	Updated workflow-related files including agent executor, workflow agent, magentic, handoff, group chat, and concurrent builders
Sample files	Updated all samples across getting_started, semantic-kernel-migration, azure_functions, and demo directories
Test files	Updated all test files across core, workflow, azure, openai, and package-specific tests
Package files	Updated azurefunctions, copilotstudio, chatkit, bedrock, purview, devui, and other package implementations