docs: update shared ecosystem badge to new EpiAware design system icon

[seabbs-bot]

Replaces the shared EpiAware ecosystem badge shown in the docs footer (docs/src/assets/epiaware-logo.svg, rendered at 48x48px and linking to epiaware.org) with the new icon-only design from the ecosystem's shared logo design system.

The package's own logo (docs/src/assets/logo.svg) is unchanged.

This was opened by a bot. Please ping @seabbs for any questions.

[seabbs-review-bot]

This PR only swaps the docs/src/assets/epiaware-logo.svg artwork for a new EpiAware design-system icon; no Julia source, tests, or docs prose changed, and the failing CI test jobs are unrelated Julia test runs that this docs-only asset change cannot affect. The one real defect: the new SVG's viewBox is 400x420 (non-square) while the site footer (docs/src/.vitepress/config.mts:120) embeds it with fixed width=48 height=48, so the icon will be letterboxed instead of filling its box as it did before.

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[seabbs-review-bot]

issue New viewBox is 400x420 (aspect ~0.95), not square like the old 64x64. The footer at docs/src/.vitepress/config.mts:120 renders this SVG with fixed width="48" height="48". With default preserveAspectRatio (xMidYMid meet), the icon will now be letterboxed inside that 48x48 box instead of filling it edge-to-edge as before. Either adjust the viewBox to be square (e.g. crop/pad to 400x400) or update the footer's width/height to match the new aspect ratio.

[github-actions]

Try this Pull Request!

Option 1: Julia Package Manager

Open Julia and type:

import Pkg
Pkg.activate(temp=true)
Pkg.add(url="https://github.com/EpiAware/DistributionsInference.jl", rev="chore/update-logo")
using DistributionsInference

Option 2: Local Checkout

If you have the repo locally:

git checkout chore/update-logo
julia --project=. -e "using Pkg; Pkg.instantiate()"

[github-actions]

📖 Documentation preview is ready!

View the docs for this PR at: https://EpiAware.github.io/DistributionsInference.jl/previews/PR145/

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