[Repo Assist] ci: add NuGet and uv dependency caching to build-and-test workflow

打开 .github/workflows/build-and-test.yml，检查 build-and-test workflow 中的 restore 步骤。根据现有的 NuGet 和 uv restore 命令，验证提议的缓存路径和 lock-file 键，然后运行 workflow 或相关检查。当两个依赖缓存都被使用且 workflow 仍能成功完成时，即表示完成。

🤖 This is an automated pull request from Repo Assist, an AI assistant for this repository.

Summary

Adds dependency caching to the build-and-test CI workflow to avoid re-downloading packages on every run.

Changes

Two actions/cache@v4 steps are inserted before the restore steps:

Both caches fall back to prefix-only restore keys so a partial cache hit still saves time when lock files change.

Motivation

Currently every CI run restores all .NET NuGet packages and all Python packages from scratch. These packages rarely change between commits, so caching them can cut the restore step from ~30–60 s down to a few seconds for cache hits.

Trade-offs

• Cache invalidation is automatic: whenever paket.lock or uv.lock changes, the cache key changes and a fresh download occurs.
• Storage is minimal (GitHub Actions cache is free up to 10 GB per repo).
• No behavioural change — only the restore speed improves.

[!WARNING]
Protected Files — Push Permission Denied

This was originally intended as a pull request, but the patch modifies protected files. A human must create the pull request manually.

Protected files

• .github/workflows/build-and-test.yml

The push was rejected because GitHub Actions does not have workflows permission to push these changes, and is never allowed to make such changes, or other authorization being used does not have this permission.

# Download the patch from the workflow run
gh run download 24596089857 -n agent -D /tmp/agent-24596089857

# Create a new branch
git checkout -b repo-assist/eng-ci-caching-2026-04-18-3e72f288219c2ec4 main

# Apply the patch (--3way handles cross-repo patches)
git am --3way /tmp/agent-24596089857/aw-repo-assist-eng-ci-caching-2026-04-18.patch

# Push the branch and create the pull request
git push origin repo-assist/eng-ci-caching-2026-04-18-3e72f288219c2ec4
gh pr create --title '[Repo Assist] ci: add NuGet and uv dependency caching to build-and-test workflow' --base main --head repo-assist/eng-ci-caching-2026-04-18-3e72f288219c2ec4 --repo fable-compiler/Fable.Python

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