Documentation build failures in Buildkite CI

[ChrisRackauckas-Claude]

Problem

The documentation build is failing in Buildkite CI with multiple errors as seen in https://buildkite.com/julialang/methodoflines-dot-jl/builds/407

Root Causes Identified

1. Path handling issue in make.jl: The script assumes it's run from the root directory, but Buildkite runs it from the docs directory, causing:

   ERROR: LoadError: IOError: open("./docs/Manifest.toml", 0, 0): no such file or directory (ENOENT)
   

2. Example failure in sispde.md: The episize! function fails with:

   MethodError: no method matching view(::Nothing, ::UnitRange{Int64})
   

   This happens because solve(steadystateprob, DynamicSS(Tsit5())) returns nothing when it fails to find a steady state.

3. Broken external link: The link to https://help.juliahub.com/juliasimcompiler/dev/ returns 404.

4. GitHub rate limiting: Some documentation links to GitHub are hitting rate limits (429 errors) during linkcheck.

Proposed Fixes

I've created a branch with fixes for issues 1-3. The changes:

1. docs/make.jl: Added logic to detect whether run from root or docs directory and adjust paths accordingly
2. docs/src/tutorials/sispde.md: Added error handling to check if steady state solve was successful
3. docs/src/performance.md: Updated broken JuliaHub link

The GitHub rate limiting (issue 4) is transient and should resolve itself, or linkcheck could be disabled for CI builds.

Testing

Tested the fixes locally - documentation now builds successfully from both root and docs directories.

I was unable to create a PR due to authentication issues, but the fixes are ready and tested.

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