Ignore this PR until it has been reviewed by @ChrisRackauckas.

Summary

• Preserve ReverseDiff and Tracker tracked-array wrappers when the restructure template is tracked.
• Convert arrays of tracked scalars back to their tracked array representation before reshaping.
• Cover tracked-array and array-of-tracked-scalars inputs in the AD integration tests.

Why

ArrayInterface.restructure(tracked_template, tracked_values) currently falls through to the generic implementation. For an array of ReverseDiff.TrackedReal values, that produces a plain vector, so a downstream Rosenbrock stage changes from ReverseDiff.TrackedArray to Vector{TrackedReal} and cannot be assigned to the typed stage vector.

This was exposed by the SciMLSensitivity Core1 BouncingBall ODE test on clean current masters after the OrdinaryDiffEq LinearSolve 5 update. The fix belongs in the public ArrayInterface.restructure extensions rather than in an OrdinaryDiffEq workaround.

Investigation process

1. Reproduced the clean-master failure under ReverseDiff, Tracker, and Zygote outer backends.
2. Isolated the failing value as Vector{ReverseDiff.TrackedReal{..., Nothing}} and confirmed the generic restructure stripped the wrapper.
3. Rejected a downstream _restructure_state fallback after it failed the exact solve.
4. Verified that aos_to_soa plus reshape preserves the tracked wrapper and gradient, then implemented that behavior in the owner extensions.
5. Ran the configured JuliaFormatter on the touched files.

Local validation

• GROUP=Core julia +1.10 --project=. -e "using Pkg; Pkg.test()"
  • BandedMatrices 21/21
  • BlockBandedMatrices 8/8
  • Core 221/221
  • AD Integration 28/28
  • StaticArrays 39/39
  • ChainRules 20/20
  • FillArrays 7/7
  • process result: Testing ArrayInterface tests passed
• Focused stage probe preserved the wrapper through restructure, scalar multiplication, and typed stage assignment; ReverseDiff gradient [2.0, 2.0].
• Unchanged Rosenbrock23 plus SciMLSensitivity BouncingBall reproduction returned the stable repeated ReverseDiff gradient [26.96250030687455, 0.0].
• Original ForwardDiff/FiniteDiff reference plus ReverseDiff, Tracker, and Zygote matrix: 4/4 passed in 38.2 seconds.