fix(admin): products canDeactivate guard, unblock npm, drop dead deps

RC-01 Phase 1 mechanical fixes (verified against current repo state,
not blindly reapplied from TODO.md):

- admin/products create/edit/duplicate now protected by an unsaved-
  changes guard (adminProductDirtyGuard), mirroring the existing
  categories pattern. AdminProductsFacade had zero dirty-tracking
  before this - added a dirty signal, set true on updateDraft(),
  cleared on load/create/successful save. Added confirmLeaveUnsaved
  to the adminProducts i18n section (en/ru/hy) - categories already
  had its own copy of this key, products didn't.
- barry-cache bumped ^0.1.0 -> ^0.9.3 (the pinned range no longer
  resolved on the registry - ETARGET - which had been silently
  blocking every npm install/uninstall all cycle).
- Removed primeng/primeicons (npm uninstall, now unblocked) - the
  only consumer (items-carousel) was already deleted in RC PERF-01.
- Removed core/search/services/search-history.service.ts, a dead
  1-line re-export with zero importers (verified: the real
  implementation is features/search/services/search-history.service.ts,
  used by search.facade.ts). Left core/search/models/* alone - those
  ARE live, imported by catalog components.

Verified before touching: HeaderConfig.showProfile toggle is already
removed from the header-section editor template (TODO.md was stale on
this one) - no change needed, will correct the tracking doc separately.

tsc --noEmit clean, npm run build green (bundle unchanged, primeng
was already tree-shaken out, this just removes the dead dependency
declaration itself).

Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>

src/app/features/admin/products/facade/admin-products.facade.ts

@@ -93,6 +93,7 @@ export class AdminProductsFacade {
   readonly loading = signal(false);
   readonly selectedIds = signal<string[]>([]);
   readonly draft = signal<AdminProduct | null>(null);
+  readonly dirty = signal(false);
   readonly editorMode = signal<AdminProductEditorMode>('create');
 
   readonly hasSelection = computed(() => this.selectedIds().length > 0);
@@ -283,20 +284,22 @@ export class AdminProductsFacade {
   startCreate(): void {
     this.editorMode.set('create');
     this.draft.set(this.formFactory.createEmpty());
+    this.dirty.set(false);
   }
 
   loadForEdit(id: string, mode: AdminProductEditorMode = 'edit'): void {
     this.editorMode.set(mode);
     if (mode === 'duplicate') {
-      this.gateway.duplicateProduct(id).pipe(take(1)).subscribe({ next: product => this.draft.set(product) });
+      this.gateway.duplicateProduct(id).pipe(take(1)).subscribe({ next: product => { this.draft.set(product); this.dirty.set(false); } });
       return;
     }
 
-    this.gateway.loadProduct(id).pipe(take(1)).subscribe({ next: product => this.draft.set(product ? { ...product } : null) });
+    this.gateway.loadProduct(id).pipe(take(1)).subscribe({ next: product => { this.draft.set(product ? { ...product } : null); this.dirty.set(false); } });
   }
 
   updateDraft(patch: Partial<AdminProduct>): void {
     this.draft.update(current => current ? ({ ...current, ...patch, updatedAt: new Date().toISOString() }) : current);
+    this.dirty.set(true);
   }
 
   saveDraft(): void {
@@ -307,7 +310,7 @@ export class AdminProductsFacade {
       ? this.gateway.createProduct(draft)
       : this.gateway.updateProduct(draft);
 
-    request.pipe(take(1)).subscribe({ next: () => this.loadList() });
+    request.pipe(take(1)).subscribe({ next: () => { this.dirty.set(false); this.loadList(); } });
   }
 
   deleteOne(id: string): void {

src/app/features/admin/products/guards/admin-product-dirty.guard.ts

@@ -0,0 +1,14 @@
+import { inject } from '@angular/core';
+import { CanDeactivateFn } from '@angular/router';
+import { AdminProductsFacade } from '../facade/admin-products.facade';
+import { AdminProductEditorPageComponent } from '../pages/admin-product-editor-page.component';
+import { TranslateService } from '../../../../i18n/translate.service';
+
+export const adminProductDirtyGuard: CanDeactivateFn<AdminProductEditorPageComponent> = () => {
+  const facade = inject(AdminProductsFacade);
+  if (!facade.dirty()) {
+    return true;
+  }
+  const translate = inject(TranslateService);
+  return window.confirm(translate.t('adminProducts.confirmLeaveUnsaved'));
+};