Enable rendered public API docs QA

[ChrisRackauckas-Claude]

Ignore this PR until reviewed by @ChrisRackauckas.

Summary

• Enable SciMLTesting rendered public API docs coverage for FiniteStateProjection.jl.
• Pass the existing Catalyst re-export ignore list to both docstring and rendered-docs checks.
• No source behavior, docs pages, or package tests were changed.

Audit

Package-owned exported/public API audited:

• FSPSystem
• DefaultIndexHandler
• SteadyState

All three already have source docstrings and rendered docs entries. Catalyst re-exports remain ignored because they are dependency-owned API.

Validation

• git diff --check passed.
• No [sources] or path = ... entries found in docs/QA project files.
• QA command: timeout 3600 /home/crackauc/.juliaup/bin/julia +1.10 --project=test/qa -e 'using Pkg; Pkg.develop(PackageSpec(path=pwd())); Pkg.instantiate(); include("test/qa/qa.jl")'
  • Public API documentation passed: 2/2, including rendered docs.
  • Overall QA still failed on the existing JET report for deprecated NaiveIndexHandler; this PR does not mark that broken or change behavior.
• Docs command: timeout 3600 /home/crackauc/.juliaup/bin/julia +1.10 --project=docs -e 'using Pkg; Pkg.develop(PackageSpec(path=pwd())); Pkg.instantiate(); include("docs/make.jl")' passed with only the local deploy warning and dependency iscall warning.
• Root-manifest package test command failed before tests because checked-in Manifest.toml was resolved with Julia 1.12.5 and Julia 1.10 could not locate JuliaSyntaxHighlighting.
• Fresh Julia 1.10 package test command: timeout 3600 /home/crackauc/.juliaup/bin/julia +1.10 -e 'using Pkg; Pkg.activate(; temp=true); Pkg.develop(PackageSpec(path=pwd())); Pkg.test("FiniteStateProjection")' passed:
  • Core/birthdeath2D.jl: 18/18
  • Core/feedbackloop.jl: 12/12
  • Core/telegraph.jl: 17/17
• Runic v1.7.0 Runic.main(["--check", "."]) passed.