Align ArrayInterface 7.28 and SciMLBase 3.37 floors for Downgrade CI

[ChrisRackauckas-Claude]

This PR should be ignored until reviewed by @ChrisRackauckas.

Summary

Master Downgrade and Downgrade Sublibraries fail at Pkg resolve because the downgrade harness pins per-package floors that are no longer jointly satisfiable:

ArrayInterface (root Downgrade + many sublibs)

OrdinaryDiffEqNonlinearSolve → ArrayInterface 7.19+
OrdinaryDiffEqDifferentiation → ArrayInterface 7.28+
explicit pin → ArrayInterface = 7.19.0
→ Unsatisfiable

SciMLBase (Downgrade Sublibraries)

OrdinaryDiffEqCore → SciMLBase 3.37+
most other libs → SciMLBase 3.35.1+
explicit pin → SciMLBase = 3.35.1
→ Unsatisfiable

Fix

• Raise ArrayInterface floors from 7.19 / 7.19.0 → 7.28 in Core, NonlinearSolve, BDF, DiffEqBase, DelayDiffEq, StochasticDiffEqCore (Differentiation already at 7.28).
• Raise SciMLBase floors from 3.35.1 → 3.37 across the monorepo (matching Core / root).

No source or public-API changes.

Not covered here

• Downgrade Sublibraries: TaylorSeries unsatisfiable after DataStructures 0.19.6 (OrderedCollections 2.0.1 vs Symbolics 7.6.0 Latexify weakdep) #3958 — TaylorSeries + OrderedCollections 2 / Latexify weakdep conflict (registry-side; needs harness or Latexify fix).
• Preserve nonlinear verbosity when resizing caches #3971 — InterfaceIII resize verbosity MethodError (code fix already open).
• Audit intentional OrdinaryDiffEq facade reexports #3988 — QA reexport hygiene for the root facade (already open; QA green on that PR).

[ChrisRackauckas-Claude]

Follow-up push (cont_ci)

Rebased onto current master (resolved SciMLBase/OrdinaryDiffEqCore floor conflicts by keeping SciMLBase = \"3.37\" + master `OrdinaryDiffEqCore = "4.10"`).

Additional fix beyond the original monorepo floors:

• Root `Project.toml` `[compat] ArrayInterface = "7.28"` — root Downgrade merges `ArrayInterface` as a test extra and min-pins it; without a root floor the harness still pinned `7.19.0` and conflicted with path packages at `7.28`.
• Rosenbrock ArrayInterface floor aligned to `7.28` after rebase (master reintroduced `7.19`).

Spell Check `hom` is master #3989 noise → #4004 (not part of this PR).

TaylorSeries / Latexify / OC2 residual remains #3958 (not addressed here).

This PR should be ignored until reviewed by @ChrisRackauckas.