Fix missing force-build, use non-docker publish action, be nice to cache (#11688)

* Fix missing force-build and use non-docker publish action

Fixes #11687
Fixes #10404

* Initial deletion of build_check_cache

Start to fold functionality into build_deps, but definitely broken.

* Tests can be built separately

Missed this before

* Create artifact for all platforms, fix cache usage

Cache is only created on `main` branch.
Artifact is used to move files between jobs.
The Linux artifact was broken, now it's not.
The Mac artifact didn't exist, now it does.
The Windows artifact gets a new name and now isn't a
zip-within-a-zip. Perhaps this will cause a permissions problem; we
will see shortly.

* Apparently cannot update env used for `if` mid-stream

* Force-build causes a clean deps build

* Either build or pull from cache

Cache only has final output, not intermediate files. So we either
build or use the cache.

* Keep dep uploads for 10 days instead

It's just the final object outputs, not intermediates, so it's not as
large and we can keep it slightly longer.

.github/workflows/build_orca.yml

@@ -1,10 +1,10 @@
 on:
     workflow_call:
       inputs:
-        cache-key:
+        artifact-name:
           required: true
           type: string
-        cache-path:
+        artifact-path:
           required: true
           type: string
         os:
@@ -30,12 +30,11 @@ jobs:
         with:
           lfs: 'true'
 
-      - name: load cached deps
-        uses: actions/cache@v4
+      - name: Download deps artifacts
+        uses: actions/download-artifact@v4
         with:
-          path: ${{ inputs.cache-path }}
-          key: ${{ inputs.cache-key }}
-          fail-on-cache-miss: true
+          name: ${{ inputs.artifact-name }}
+          path: ${{ inputs.artifact-path }}
 
       - uses: lukka/get-cmake@latest
         with: