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Fix hard-coded ARS343, simplify code and add comments #357

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dennisYatunin
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Purpose

This PR fixes the hard-coded ARS343 timestepper, which I didn't update correctly in #352 and #356. (We should probably add convergence tests for it at some point.) It also simplifies the way we call Newton's method, and it adds some code comments to clarify how we are combining DSS, cache updates, and the implicit solver.


  • I have read and checked the items on the review checklist.

@charleskawczynski
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Maybe we can confirm that this is impactless in ClimaAtmos?

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