Declare public API (unlock downstream ExplicitImports allow-lists)

[ChrisRackauckas-Claude]

Declare public API (unlock downstream ExplicitImports allow-lists)

We've enabled the ExplicitImports QA check fleet-wide, and ~92 downstream repos carry allow-lists (ei_kwargs ignores for check_all_qualified_accesses_are_public / check_all_explicit_imports_are_public) ignoring non-public names that are accessed/imported from ModelingToolkit. The right fix is to mark the legitimately-public ones public here so downstream can drop those ignores.

This PR marks the two candidate names that are (a) defined in this monorepo, (b) genuinely user-facing API (docstringed), and (c) not already public/exported:

Made public

• setguess (owned by ModelingToolkitBase, lib/ModelingToolkitBase/src/variables.jl) — docstringed setter for a variable's initialization guess; the public counterpart of the already-public getdefault/setdefault. Added to the existing @public getdefault, setdefault, ... line.
• ImperativeAffect (owned by ModelingToolkitBase, lib/ModelingToolkitBase/src/systems/imperative_affect.jl) — docstringed, user-facing callback-affect helper. Added to the existing @public SymbolicContinuousCallback, SymbolicDiscreteCallback line.

Both are declared with the existing @public (SciMLPublic) convention in ModelingToolkitBase. The @import_mtkbase macro in ModelingToolkit propagates this so the names are public from the top-level ModelingToolkit module too — which is what downstream EI checks against.

Verification (run locally)

• Julia 1.12.6: after the change, Base.ispublic(ModelingToolkitBase, :setguess) == true and Base.ispublic(ModelingToolkit, :setguess) == true; same for ImperativeAffect; neither is exported in either module.
• Julia 1.10.11 (LTS floor): ModelingToolkit + ModelingToolkitBase precompile and load cleanly; both names remain reachable. (@public/SciMLPublic is parse-safe and a no-op on 1.10.)
• Runic: clean.

Skipped (vetted, not made public)

Of the originally-surveyed candidates, the rest are intentionally left alone:

Name	Reason skipped
SymbolicContinuousCallback	Already @public in ModelingToolkitBase (propagated to MTK).
SymbolicDiscreteCallback	Already @public in ModelingToolkitBase.
getdefault	Already @public in ModelingToolkitBase.
setdefault	Already @public in ModelingToolkitBase.
isparameter	Already @public in ModelingToolkitBase.
t_nounits	Already @public in ModelingToolkitBase.
hasmetadata	Not owned here — owned and exported by SymbolicUtils (already public).
value	Not owned here — owned by Symbolics (re-exported). Declare upstream in Symbolics if needed.
Constant	Not a top-level MTK name. It's DifferentiationInterface.Constant (used in linearization.jl) and a Moshi @data variant MissingGuessValue.Constant inside MTKBase; neither is a public MTK API name.

Downstream impact

Once released, downstream repos can drop the matching ei_kwargs ignore entries for ModelingToolkit.setguess and ModelingToolkit.ImperativeAffect. The other ignores remain governed by their true owners (SymbolicUtils/Symbolics/etc.) or are already handled.

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Please ignore until reviewed by @ChrisRackauckas.

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