[BREAKING] Add response filter for store input in *Providers

[westey-m]

Motivation and Context

#4256

Description

• Add filter for response messages when storing messages in ChatMessageProviders and AIContextProviders

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

Adds separate filtering for request vs. response messages when providers store/learn from an invocation, enabling scenarios like excluding tool/function-call messages from persisted chat history (Issue #4256).

Changes:

• Split “store input” filtering into StorageInputRequestMessageFilter and StorageInputResponseMessageFilter across chat-history and AI-context provider pipelines.
• Update concrete providers/options (TextSearch, ChatHistoryMemory, Mem0, FoundryMemory, Cosmos/InMemory chat history) to pass the new filters through.
• Update unit tests and samples to use the new request/response filter APIs.

Reviewed changes

Copilot reviewed 31 out of 31 changed files in this pull request and generated 13 comments.

Show a summary per file

File	Description
dotnet/src/Microsoft.Agents.AI.Abstractions/AIContextProvider.cs	Introduces request/response store filters in the base provider invocation pipeline.
dotnet/src/Microsoft.Agents.AI.Abstractions/ChatHistoryProvider.cs	Introduces request/response store filters for chat history storage.
dotnet/src/Microsoft.Agents.AI.Abstractions/MessageAIContextProvider.cs	Threads new request/response store filters through message-based context providers.
dotnet/src/Microsoft.Agents.AI.Abstractions/InMemoryChatHistoryProviderOptions.cs	Adds request/response storage filter options for in-memory chat history.
dotnet/src/Microsoft.Agents.AI.Abstractions/InMemoryChatHistoryProvider.cs	Wires new options into the base ChatHistoryProvider constructor.
dotnet/src/Microsoft.Agents.AI/TextSearchProviderOptions.cs	Adds request/response storage filters for TextSearchProvider state updates.
dotnet/src/Microsoft.Agents.AI/TextSearchProvider.cs	Passes the new filters into the base class.
dotnet/src/Microsoft.Agents.AI/Memory/ChatHistoryMemoryProviderOptions.cs	Adds request/response storage filters for chat-history-backed memory.
dotnet/src/Microsoft.Agents.AI/Memory/ChatHistoryMemoryProvider.cs	Passes the new filters into the base class.
dotnet/src/Microsoft.Agents.AI.Mem0/Mem0ProviderOptions.cs	Adds request/response storage filters for Mem0 extraction.
dotnet/src/Microsoft.Agents.AI.Mem0/Mem0Provider.cs	Passes the new filters into the base class.
dotnet/src/Microsoft.Agents.AI.FoundryMemory/FoundryMemoryProviderOptions.cs	Adds request/response storage filters for Foundry memory extraction.
dotnet/src/Microsoft.Agents.AI.FoundryMemory/FoundryMemoryProvider.cs	Passes the new filters into the base class.
dotnet/src/Microsoft.Agents.AI.CosmosNoSql/CosmosChatHistoryProvider.cs	Adds request/response storage filter parameters and forwards them to the base class.
dotnet/src/Microsoft.Agents.AI.Workflows/WorkflowChatHistoryProvider.cs	Removes now-stale base ctor call; relies on new default ctor parameters.
dotnet/tests/Microsoft.Agents.AI.Abstractions.UnitTests/AIContextProviderTests.cs	Adds/updates tests validating request/response filter behavior.
dotnet/tests/Microsoft.Agents.AI.Abstractions.UnitTests/ChatHistoryProviderTests.cs	Updates tests to validate filtered response storage behavior.
dotnet/tests/Microsoft.Agents.AI.Abstractions.UnitTests/InMemoryChatHistoryProviderTests.cs	Updates tests to use the renamed request filter option.
dotnet/tests/Microsoft.Agents.AI.UnitTests/Data/TextSearchProviderTests.cs	Updates tests to use the renamed request filter option.
dotnet/tests/Microsoft.Agents.AI.UnitTests/Memory/ChatHistoryMemoryProviderTests.cs	Updates tests to use the renamed request filter option.
dotnet/tests/Microsoft.Agents.AI.Mem0.UnitTests/Mem0ProviderTests.cs	Updates tests to use the renamed request filter option.
dotnet/tests/Microsoft.Agents.AI.CosmosNoSql.UnitTests/CosmosChatHistoryProviderTests.cs	Updates tests for renamed ctor parameter and new semantics.
dotnet/tests/Microsoft.Agents.AI.UnitTests/ChatClient/ChatClientAgent_ChatHistoryManagementTests.cs	Updates mocks due to updated base ctor signatures.
dotnet/tests/Microsoft.Agents.AI.UnitTests/ChatClient/ChatClientAgent_BackgroundResponsesTests.cs	Updates mocks due to updated base ctor signatures.
dotnet/tests/Microsoft.Agents.AI.UnitTests/ChatClient/ChatClientAgentTests.cs	Updates mocks due to updated base ctor signatures.
dotnet/tests/Microsoft.Agents.AI.UnitTests/ChatClient/ChatClientAgentOptionsTests.cs	Updates mocks due to updated base ctor signatures.
dotnet/samples/02-agents/Agents/Agent_Step17_AdditionalAIContext/Program.cs	Updates sample to use the renamed request filter option.
dotnet/samples/02-agents/Agents/Agent_Step04_3rdPartyChatHistoryStorage/Program.cs	Removes stale base ctor call after signature change.
dotnet/samples/02-agents/AgentWithRAG/AgentWithRAG_Step02_CustomVectorStoreRAG/Program.cs	Updates sample to use the renamed request filter option.
dotnet/samples/02-agents/AgentWithRAG/AgentWithRAG_Step01_BasicTextRAG/Program.cs	Updates sample to use the renamed request filter option.
dotnet/samples/01-get-started/04_memory/Program.cs	Removes stale base ctor call after signature change.