Fix sensitivity analysis for step_system!

[Cardoza2]

Summary

• Adds sensitivity parameters to paug in step_system! when design variables p are provided, fixing incorrect sensitivity analysis for the implicit Euler stepper
• Removes leftover debug @show statements from take_step and newmark_output

Test plan

• Existing step_system! / implicit_euler tests pass (CI)
• Verify sensitivity values are correct when using ImplicitAD with step_system!

🤖 Generated with Claude Code

[Copilot]

Pull request overview

Fixes sensitivity propagation for stepped Newmark solves by ensuring design variables are written into the augmented parameter vector (paug) when step_system! is used with p, and performs small cleanup/version bump.

Changes:

• Update step_system! to copy sensitivity/design parameters p into the tail of paug.
• Remove commented-out debug @show lines in take_step and newmark_output.
• Bump package version to 1.1.2.

Reviewed changes

Copilot reviewed 1 out of 2 changed files in this pull request and generated 3 comments.

File	Description
src/analyses.jl	Ensures paug includes p during step_system! for correct sensitivity behavior; removes leftover debug comments.
Project.toml	Patch version bump consistent with a bugfix release.

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[Copilot]

This change alters sensitivity behavior when p is provided, but there is no regression test covering step_system! with a non-nothing p. Adding a test (e.g., using ForwardDiff or ImplicitAD to differentiate a simple stepped response w.r.t. a design variable) would prevent future regressions.

[Cardoza2]

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Release notes:

Step system sensitivity analysis patch

Patch on step_system! to insure update of sensitivity parameters every time the function is called.

[JuliaRegistrator]

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