Updates to the new StarAlgebra

[blegat]

Needs

• Use SA.merge_sorted from StarAlgebras, implement promote_bases_with_maps JuliaAlgebra/MultivariatePolynomials.jl#350
• Define is_commutative function interface JuliaAlgebra/MultivariatePolynomials.jl#351
• Implement MP.is_commutative JuliaAlgebra/DynamicPolynomials.jl#188
• Implement SA.promote_with_map for Variable, Monomial, Term, and Polynomial JuliaAlgebra/DynamicPolynomials.jl#192
• Implement is_commutative JuliaAlgebra/TypedPolynomials.jl#101
• Promote at creation JuliaAlgebra/SemialgebraicSets.jl#54
• Add missing promote_basis for MStruct JuliaAlgebra/MultivariateBases.jl#68
• Update FixedBasis with StarAlgebras v0.3 JuliaAlgebra/MultivariateBases.jl#72
• Add support for JSON@1 and DataStructures@0.19 oxfordcontrol/Clarabel.jl#218
• Add support for starting values Dualization.jl#208
• Implement promote_with_map for term and polynomial JuliaAlgebra/MultivariatePolynomials.jl#359

Closes #404
Closes #415

[codecov]

Codecov Report

❌ Patch coverage is 85.23490% with 22 lines in your changes missing coverage. Please review.
✅ Project coverage is 84.32%. Comparing base (2c40b50) to head (e1b05a3).
⚠️ Report is 2 commits behind head on master.

Files with missing lines	Patch %	Lines
src/Certificate/Symmetry/wedderburn.jl	0.00%	10 Missing ⚠️
src/gram_matrix.jl	40.00%	6 Missing ⚠️
src/Bridges/Constraint/image.jl	66.66%	2 Missing ⚠️
src/Certificate/newton_polytope.jl	92.59%	2 Missing ⚠️
src/Certificate/ideal.jl	92.85%	1 Missing ⚠️
src/sosdec.jl	92.85%	1 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##           master     #411      +/-   ##
==========================================
+ Coverage   83.85%   84.32%   +0.47%     
==========================================
  Files          41       41              
  Lines        2477     2514      +37     
==========================================
+ Hits         2077     2120      +43     
+ Misses        400      394       -6     

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