Enabling aqua ambiguity testing for Turing

[abhinavsns]

We can test ambiguities only for Turing and not its dependencies.

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 56.72%. Comparing base (0c4096a) to head (03ce9e5).

Additional details and impacted files

@@             Coverage Diff             @@
##           master    #2290       +/-   ##
===========================================
- Coverage   85.77%   56.72%   -29.06%     
===========================================
  Files          24       24               
  Lines        1617     1606       -11     
===========================================
- Hits         1387      911      -476     
- Misses        230      695      +465     

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[coveralls]

Pull Request Test Coverage Report for Build 10160622494

Details

• 0 of 0 changed or added relevant lines in 0 files are covered.
• 460 unchanged lines in 13 files lost coverage.
• Overall coverage decreased (-28.9%) to 57.044%

---

Files with Coverage Reduction	New Missed Lines	%
src/mcmc/emcee.jl	2	90.2%
src/variational/VariationalInference.jl	4	14.29%
src/mcmc/gibbs.jl	4	94.05%
src/mcmc/particle_mcmc.jl	10	87.84%
src/mcmc/gibbs_conditional.jl	12	0.0%
src/mcmc/Inference.jl	18	77.3%
ext/TuringDynamicHMCExt.jl	29	0.0%
src/mcmc/mh.jl	32	57.43%
ext/TuringOptimExt.jl	50	0.0%
src/variational/advi.jl	53	0.0%

Totals
Change from base Build 10159410664:	-28.9%
Covered Lines:	911
Relevant Lines:	1597

---

💛 - Coveralls

[devmotion]

Indeed, that's what I suggested in #2257 (comment). Maybe put it in a testset and maybe only test ambiguities on Julia >= 1.10 (or some other recent Julia versions) since it might not be worth it fixing ambiguities that only show up in old Julia versions (which sometimes also imply old dependencies)?

[penelopeysm]

(Rebased against master to check if #2294 works. Edit: It doesn't, probably because this is a public fork (see https://docs.github.com/en/actions/security-guides/automatic-token-authentication#how-the-permissions-are-calculated-for-a-workflow-job). Will manually fix this one and revisit that separately.)

[yebai]

Close in favour of #2304