chore: add changelogs (#787)

Author: gdalle

DifferentiationInterface/CHANGELOG.md

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+# Changelog
+
+All notable changes to this project will be documented in this file.
+
+The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.1.0/),
+and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.html).
+
+## [Unreleased]
+
+### Changed
+
+- Allocate Enzyme shadow memory during preparation ([#782])
+
+## [0.6.53] - 2025-05-07
+
+[unreleased]: https://github.com/JuliaDiff/DifferentiationInterface.jl/compare/DifferentiationInterface-v0.6.53...main
+[0.6.53]: https://github.com/JuliaDiff/DifferentiationInterface.jl/compare/DifferentiationInterface-v0.6.52...DifferentiationInterface-v0.6.53
+
+[#782]: https://github.com/JuliaDiff/DifferentiationInterface.jl/pull/782

DifferentiationInterfaceTest/CHANGELOG.md

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+# Changelog
+
+All notable changes to this project will be documented in this file.
+
+The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.1.0/),
+and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.html).
+
+## [Unreleased]
+
+## [0.9.6] - 2025-03-28
+
+### Added
+
+- Add new ConstantOrCache context ([#749])
+- Support nested tuples of arrays as Caches ([#748])
+- Test type consistency between preparation and execution ([#745])
+
+[unreleased]: https://github.com/JuliaDiff/DifferentiationInterface.jl/compare/DifferentiationInterfaceTest-v0.9.6...main
+[0.9.6]: https://github.com/JuliaDiff/DifferentiationInterface.jl/compare/DifferentiationInterfaceTest-v0.9.5...DifferentiationInterfaceTest-v0.9.6
+
+[#749]: https://github.com/JuliaDiff/DifferentiationInterface.jl/pull/749
+[#748]: https://github.com/JuliaDiff/DifferentiationInterface.jl/pull/748
+[#745]: https://github.com/JuliaDiff/DifferentiationInterface.jl/pull/745