feat: support forward-mode Mooncake with AutoMooncakeForward

[gdalle]

Adds support for Mooncake in forward mode, through the AutoMooncakeForward backend object.

Warning

This is an experimental feature of Mooncake

Relies on:

• Forward-mode AD chalk-lab/Mooncake.jl#389
• feat: Add forward mode Mooncake SciML/ADTypes.jl#110

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 97.94%. Comparing base (cfb1a94) to head (e5edb0b).

Additional details and impacted files

@@            Coverage Diff             @@
##             main     #813      +/-   ##
==========================================
+ Coverage   97.89%   97.94%   +0.04%     
==========================================
  Files         129      131       +2     
  Lines        7757     7819      +62     
==========================================
+ Hits         7594     7658      +64     
+ Misses        163      161       -2     

Flag	Coverage Δ
DI	98.78% <100.00%> (+0.04%)	⬆️
DIT	95.66% <ø> (ø)

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