chore(deps): update Mooncake requirement from 0.4.175 to 0.4.175, 0.5 in /DifferentiationInterface in the all-julia-packages group across 1 directory

[dependabot]

Updates the requirements on Mooncake to permit the latest version.
Updates Mooncake to 0.5.0

Release notes

Sourced from Mooncake's releases.

v0.5.0

Mooncake v0.5.0

Diff since v0.4.203

Breaking changes

• Make Complex{<:IEEEFloat} its own tangent type (chalk-lab/Mooncake.jl#953).
• Use Mooncake.Config in the interface (chalk-lab/Mooncake.jl#977).

Merged pull requests:

• Canonicalising tangent types (#971) (@​yebai)
• Bump version from 0.4.203 to 0.4.204 (#973) (@​AstitvaAggarwal)
• Mooncake v0.5.0: Use Config in the interface (#977) (@​Technici4n)

Changelog

Sourced from Mooncake's changelog.

0.5.0

Breaking Changes

• The tangent type of a Complex{P<:IEEEFloat} is now Complex{P} instead of Tangent{@NamedTuple{re::P, im::P}}.
• The prepare_pullback_cache, prepare_gradient_cache and prepare_derivative_cache interface functions now accept a Mooncake.Config directly.

0.4.147

Public Interface

• Mooncake offers forward mode AD.
• Two new functions added to the public interface: prepare_derivative_cache and value_and_derivative!!.
• One new type added to the public interface: Dual.

Internals

• get_interpreter was previously a zero-arg function. Is now a unary function, called with a "mode" argument: get_interpreter(ForwardMode), get_interpreter(ReverseMode).
• @zero_derivative should now be preferred to @zero_adjoint. @zero_adjoint will be removed in 0.5.
• @from_chainrules should now be preferred to @from_rrule. @from_rrule will be removed in 0.5.

Commits

• 80cc727 Mooncake v0.5.0: Use Config in the interface (#977)
• 7b2f7ba Use non-parametric alias or full form.
• ad0c3c2 Refine CF alias with type constraint.
• a9c72fd Bump version from 0.4.203 to 0.4.204 (#973)
• 863d8e2 clarifying rules for new, lgetfield, and lsetfield! in customised tangents ...
• d6d0ada Make Complex{<:IEEEFloat} its own tangent type (#953)
• 05c93de replace overlay with matrixify (see #961) (#966)
• 0be696d fix typos (#964)
• ae44b48 run formatting CI on LTS only (#960)
• cfdaf2d support matrix-vector or vector-matrix in gemm (#942)
• Additional commits viewable in compare view

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[gdalle]

Superseded by #957