CompatHelper: add new compat entry for Mooncake at version 0.4 for package test, (keep existing compat)

[github-actions]

This pull request sets the compat entry for the Mooncake package to 0.4 for package test.
This keeps the compat entries for earlier versions.

Note: I have not tested your package with this new compat entry.
It is your responsibility to make sure that your package tests pass before you merge this pull request.
Note: Consider registering a new release of your package immediately after merging this PR, as downstream packages may depend on this for tests to pass.

[github-actions]

Benchmark Report for Commit 05424fd

Computer Information

Julia Version 1.11.7
Commit f2b3dbda30a (2025-09-08 12:10 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Linux (x86_64-linux-gnu)
  CPU: 4 × AMD EPYC 7763 64-Core Processor
  WORD_SIZE: 64
  LLVM: libLLVM-16.0.6 (ORCJIT, znver3)
Threads: 1 default, 0 interactive, 1 GC (on 4 virtual cores)

Benchmark Results

┌───────────────────────┬───────┬─────────────┬───────────────────┬────────┬────────────────┬─────────────────┐
│                 Model │   Dim │  AD Backend │           VarInfo │ Linked │ t(eval)/t(ref) │ t(grad)/t(eval) │
├───────────────────────┼───────┼─────────────┼───────────────────┼────────┼────────────────┼─────────────────┤
│ Simple assume observe │     1 │ forwarddiff │             typed │  false │            6.6 │             1.7 │
│           Smorgasbord │   201 │ forwarddiff │             typed │  false │          718.5 │            42.9 │
│           Smorgasbord │   201 │ forwarddiff │ simple_namedtuple │   true │          418.3 │            54.4 │
│           Smorgasbord │   201 │ forwarddiff │           untyped │   true │          783.3 │            36.9 │
│           Smorgasbord │   201 │ forwarddiff │       simple_dict │   true │         6736.6 │            28.6 │
│           Smorgasbord │   201 │ forwarddiff │      typed_vector │   true │          747.4 │            41.9 │
│           Smorgasbord │   201 │ forwarddiff │    untyped_vector │   true │          779.2 │            36.5 │
│           Smorgasbord │   201 │ reversediff │             typed │   true │          906.5 │            46.5 │
│           Smorgasbord │   201 │    mooncake │             typed │   true │          723.0 │             6.3 │
│           Smorgasbord │   201 │      enzyme │             typed │   true │          904.9 │             3.8 │
│    Loop univariate 1k │  1000 │    mooncake │             typed │   true │         3885.8 │             5.9 │
│       Multivariate 1k │  1000 │    mooncake │             typed │   true │         1009.5 │             8.9 │
│   Loop univariate 10k │ 10000 │    mooncake │             typed │   true │        42975.1 │             5.4 │
│      Multivariate 10k │ 10000 │    mooncake │             typed │   true │         9003.0 │             9.9 │
│               Dynamic │    10 │    mooncake │             typed │   true │          118.2 │            11.3 │
│              Submodel │     1 │    mooncake │             typed │   true │            8.7 │             6.5 │
│                   LDA │    12 │ reversediff │             typed │   true │         1006.6 │             2.0 │
└───────────────────────┴───────┴─────────────┴───────────────────┴────────┴────────────────┴─────────────────┘

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 79.01%. Comparing base (754b190) to head (05424fd).
⚠️ Report is 1 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #1136      +/-   ##
==========================================
- Coverage   81.58%   79.01%   -2.58%     
==========================================
  Files          40       39       -1     
  Lines        3845     3769      -76     
==========================================
- Hits         3137     2978     -159     
- Misses        708      791      +83     

☔ View full report in Codecov by Sentry.
📢 Have feedback on the report? Share it here.

🚀 New features to boost your workflow:

• ❄️ Test Analytics: Detect flaky tests, report on failures, and find test suite problems.