Python: Agent name as required for AzureAIClient

[dmytrostruk]

Motivation and Context

Removed UnnamedAgent default name and made agent name as required parameter in AzureAIClient.

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
packages/azure-ai/agent_framework_azure_ai
_client.py	142	22	84%	165–168, 172–173, 175, 324–325, 329, 331–332, 334–342, 344
TOTAL	14697	2121	85%

Python Unit Test Overview

Tests	Skipped	Failures	Errors	Time
2036	129 💤	0 ❌	0 🔥	39.233s ⏱️

[Copilot]

Pull Request Overview

This PR makes the agent name a required parameter for AzureAIClient by removing the default "UnnamedAgent" fallback value. Users must now explicitly provide an agent name either when initializing AzureAIClient or when creating a ChatAgent.

Key Changes:

• Added validation to enforce agent_name as a required parameter with a clear error message
• Removed redundant agent_name assignments after fetching or creating agents
• Updated sample code to include the required name parameter
• Added test coverage for the missing agent_name validation

Reviewed Changes

Copilot reviewed 3 out of 4 changed files in this pull request and generated no comments.

File	Description
python/uv.lock	Version bump for the ag-ui package
python/samples/getting_started/agents/azure_ai/azure_ai_with_code_interpreter.py	Added name="MyCodeInterpreterAgent" parameter to demonstrate required agent naming
python/packages/azure-ai/tests/test_azure_ai_client.py	Added test case to validate ServiceInitializationError when agent_name is missing
python/packages/azure-ai/agent_framework_azure_ai/_client.py	Enforced agent_name as required with validation logic, removed redundant assignments, updated docstring for agent_name parameter, and added docstring for prepare_options method