Pre-release Julia (1.13-beta3) CI failures: runner infra issues and Pkg Manifest path errors

[singhharsh1708]

Several sublibrary CI jobs consistently fail on Julia pre (1.13-beta3) while passing on 1, 1.11, and lts.

Fast failures (~15-16s) — no Julia output

• OrdinaryDiffEqNordsieck, pre
• OrdinaryDiffEqSDIRK, pre

The job ends after setup-julia@v2 with only ~136 log lines. No buildpkg or test output is produced. Likely julia-actions/setup-julia@v2 fails to install the pre-release binary on self-hosted deepsea3-* runners.

Pkg Manifest absolute-path error

• OrdinaryDiffEqMultirate, pre

ERROR: could not find source path for package DiffEqBase based on manifest
.../lib/OrdinaryDiffEqMultirate/Manifest.toml

Julia 1.13-beta3 Pkg generates Manifest.toml files with absolute paths during buildpkg. When those paths are later resolved they are not found. This looks like a behavior change in how the pre-release Pkg handles monorepo workspace local sources.

Subprocess spawn error

• OrdinaryDiffEqRKIP, pre

ERROR: errno=2 : No such file or directory

Fails inside Pkg.test when spawning a Julia subprocess. Likely a pre-release binary path issue on the runner.