[Analyzer] Fix FactoryTypeReference cache collision for shared CLR types

[tobias-tengler]

No description provided.

[Copilot]

Pull request overview

Fixes a type resolution bug in HotChocolate’s source-generator type handling where FactoryTypeReference could incorrectly reuse a cached wrapper type across input vs output contexts for the same CLR type, leading to invalid schema/type resolution.

Changes:

• Update FactoryTypeReference.Key to incorporate TypeContext (Input/Output) to prevent factory-cache collisions.
• Add an analyzer integration regression case using a POCO (Shape) in both output (query result) and input (mutation argument) positions.
• Update integration test schema snapshots to include the new query field, mutation root, and generated ShapeInput.

Reviewed changes

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

File	Description
src/HotChocolate/Core/test/Types.Analyzers.Integration.Tests/Types.cs	Adds regression scenario: same CLR type used in query return and mutation argument to validate distinct input/output GraphQL types.
src/HotChocolate/Core/test/Types.Analyzers.Integration.Tests/snapshots/IntegrationTests.Schema_Snapshot.snap	Updates expected schema snapshot to include Mutation, Shape, and ShapeInput.
src/HotChocolate/Core/test/Types.Analyzers.Integration.Tests/snapshots/IntegrationTests.Schema_Snapshot_Without_ConnectionName_Inference.snap	Updates expected schema snapshot (variant) with Mutation, Shape, and ShapeInput.
src/HotChocolate/Core/src/Types/Types/Descriptors/TypeReferences/FactoryTypeReference.cs	Disambiguates the factory cache key by appending TypeContext for non-None contexts.

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