ci: bump pinned Node to 22.22.2 to fix npm@latest EBADENGINE (#246)

* ci: bump pinned Node to 22.22.2 for npm@latest compatibility

npm@latest now resolves to npm@12, whose engines field requires
Node ^22.22.2 || ^24.15.0 || >=26. The publish jobs pinned Node
22.14.0, so "npm install -g npm@latest" failed with EBADENGINE.
Bump the pin to 22.22.2 to satisfy the requirement while keeping
the latest npm for OIDC provenance support.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01X4h6iYSAmtDjNuDn3wXaGj

* ci: pin Node to 22.22.3 to avoid 22.22.2 npm toolcache regression

Node 22.22.2 ships a broken bundled npm 10.9.7 whose module tree is
missing promise-retry, so "npm install -g npm@latest" fails with
MODULE_NOT_FOUND (nodejs/node#62425, actions/runner-images#13883).
Node 22.22.3 bundles npm 10.9.8 which fixes the tree, still satisfies
npm@12's engines requirement (^22.22.2), and keeps the single npm
upgrade step working for OIDC provenance.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01X4h6iYSAmtDjNuDn3wXaGj

---------

Co-authored-by: Claude <noreply@anthropic.com>

Author: willwashburn

.github/workflows/publish-npm.yml

@@ -78,7 +78,7 @@ jobs:
       - name: Setup Node.js
         uses: actions/setup-node@v4
         with:
-          node-version: "22.14.0"
+          node-version: "22.22.3"
           cache: "npm"
           cache-dependency-path: package-lock.json
           registry-url: "https://registry.npmjs.org"
@@ -205,7 +205,7 @@ jobs:
       - name: Setup Node.js
         uses: actions/setup-node@v4
         with:
-          node-version: "22.14.0"
+          node-version: "22.22.3"
           registry-url: "https://registry.npmjs.org"
 
       - name: Download build artifacts
@@ -244,7 +244,7 @@ jobs:
       - name: Setup Node.js
         uses: actions/setup-node@v4
         with:
-          node-version: "22.14.0"
+          node-version: "22.22.3"
           registry-url: "https://registry.npmjs.org"
 
       - name: Download build artifacts