[workflow] Update caching strategy for Docker images in game and visualizer workflows

- Change cache-from and cache-to settings to use registry references instead of GHA.
- Ensure build cache is specific to branch and architecture for both server and bot images in game.yml.
- Update visualizer.yml to reflect similar caching changes for image builds.

Author: PaulicStudios

.github/workflows/game.yml

@@ -150,8 +150,10 @@ jobs:
           tags: ${{ env.SERVER_IMAGE }}
           outputs: type=image,push-by-digest=true,name-canonical=true,push=true
           provenance: false
-          cache-from: type=gha
-          cache-to: type=gha,mode=max
+          cache-from: |
+            type=registry,ref=${{ env.SERVER_IMAGE }}:buildcache-${{ github.ref_name }}-${{ matrix.arch }}
+            type=registry,ref=${{ env.SERVER_IMAGE }}:buildcache-main-${{ matrix.arch }}
+          cache-to: type=registry,ref=${{ env.SERVER_IMAGE }}:buildcache-${{ github.ref_name }}-${{ matrix.arch }},mode=max
 
       - name: Tag server image with temp per-arch tag
         run: |
@@ -187,8 +189,10 @@ jobs:
           tags: ${{ env.BOT_IMAGE }}
           outputs: type=image,push-by-digest=true,name-canonical=true,push=true
           provenance: false
-          cache-from: type=gha
-          cache-to: type=gha,mode=max
+          cache-from: |
+            type=registry,ref=${{ env.BOT_IMAGE }}:buildcache-${{ github.ref_name }}-${{ matrix.arch }}
+            type=registry,ref=${{ env.BOT_IMAGE }}:buildcache-main-${{ matrix.arch }}
+          cache-to: type=registry,ref=${{ env.BOT_IMAGE }}:buildcache-${{ github.ref_name }}-${{ matrix.arch }},mode=max
 
       - name: Export digest (my-core-bot)
         run: |

.github/workflows/visualizer.yml

@@ -106,8 +106,10 @@ jobs:
           push: true
           tags: ${{ steps.arch-tags.outputs.arch-tags }}
           labels: ${{ steps.meta.outputs.labels }}
-          cache-from: type=gha
-          cache-to: type=gha,mode=max
+          cache-from: |
+            type=registry,ref=${{ env.REGISTRY }}/${{ env.IMAGE_NAME }}:buildcache-${{ github.ref_name }}-${{ matrix.architecture }}
+            type=registry,ref=${{ env.REGISTRY }}/${{ env.IMAGE_NAME }}:buildcache-main-${{ matrix.architecture }}
+          cache-to: type=registry,ref=${{ env.REGISTRY }}/${{ env.IMAGE_NAME }}:buildcache-${{ github.ref_name }}-${{ matrix.architecture }},mode=max
 
       - name: Build Docker image (PR test)
         if: github.event_name == 'pull_request'
@@ -118,8 +120,9 @@ jobs:
           platforms: ${{ matrix.platform }}
           push: false
           tags: ${{ env.REGISTRY }}/${{ env.IMAGE_NAME }}:test-${{ matrix.architecture }}
-          cache-from: type=gha
-          cache-to: type=gha,mode=max
+          cache-from: |
+            type=registry,ref=${{ env.REGISTRY }}/${{ env.IMAGE_NAME }}:buildcache-${{ github.ref_name }}-${{ matrix.architecture }}
+            type=registry,ref=${{ env.REGISTRY }}/${{ env.IMAGE_NAME }}:buildcache-main-${{ matrix.architecture }}
 
       - name: Show build information
         run: |