feat: persist ownership filter across category changes

Pass allAssets to AssetFilterBar to check for mutable assets across all
categories, not just the currently filtered ones. This ensures the
ownership filter remains visible when switching categories, providing
better UX consistency.

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <[email protected]>

Author: luke-mino-altherr

src/platform/assets/components/AssetBrowserModal.vue

@@ -48,6 +48,7 @@
     <template #contentFilter>
       <AssetFilterBar
         :assets="categoryFilteredAssets"
+        :all-assets="fetchedAssets"
         @filter-change="updateFilters"
       />
     </template>

src/platform/assets/components/AssetFilterBar.vue

@@ -54,7 +54,7 @@
     </div>
   </div>
 </template>
-
+ 
 <script setup lang="ts">
 import { computed, ref } from 'vue'
 
@@ -92,8 +92,9 @@ export interface FilterState {
   ownership: OwnershipOption
 }
 
-const { assets = [] } = defineProps<{
+const { assets = [], allAssets = [] } = defineProps<{
   assets?: AssetItem[]
+  allAssets?: AssetItem[]
 }>()
 
 const fileFormats = ref<SelectOption[]>([])
@@ -105,7 +106,7 @@ const { availableFileFormats, availableBaseModels } =
   useAssetFilterOptions(assets)
 
 const hasMutableAssets = computed(() =>
-  assets.some((asset) => asset.is_immutable === false)
+  allAssets.some((asset) => asset.is_immutable === false)
 )
 
 const emit = defineEmits<{