feat(header): add home styling, search output and host binding

Enhance the header component to support a distinct "home" appearance
and emit search updates. Add a HostBinding that toggles a home-header
class from the isHome flag so styles can target the home state.
Expose a searchQuery output and wire an onSearchQueryUpdate method to
emit the search text, enabling parent components to react to user
searches.
Refactor imports to include HostBinding and output. Tidy toolbar metrics
and adjust element sizing for a compact brand block and pulsing logo.
Introduce comprehensive SCSS for the home header:
- gradient background, animated glow overlay, and edge accent
- brand block styling with blur, border, hover states and box-shadow
- logo sizing, pulse animation and responsive tweaks
- reduced toolbar height and overall visual polish
These changes separate home-specific styling from the default header
appearance and provide a programmatic hook for search interactions.

apps/web/src/app/shared/components/header/header.component.ts

@@ -1,4 +1,4 @@
-import { Component, OnInit, effect, inject, input } from '@angular/core';
+import { Component, HostBinding, OnInit, effect, inject, input, output } from '@angular/core';
 import { FormsModule, ReactiveFormsModule } from '@angular/forms';
 import { MatButtonModule } from '@angular/material/button';
 import { MatCheckboxModule } from '@angular/material/checkbox';
@@ -39,6 +39,9 @@ import {
     ],
 })
 export class HeaderComponent implements OnInit {
+    @HostBinding('class.home-header') get isHomeHeader() {
+        return this.isHome;
+    }
     private activatedRoute = inject(ActivatedRoute);
     private dialog = inject(MatDialog);
     private dataService = inject(DataService);
@@ -49,6 +52,7 @@ export class HeaderComponent implements OnInit {
     readonly isDesktop = !!window.electron;
     readonly title = input.required<string>();
     readonly subtitle = input.required<string>();
+    readonly searchQuery = output<string>();
 
     isHome = true;
 
@@ -160,4 +164,8 @@ export class HeaderComponent implements OnInit {
             this.currentSortOptions?.order === order
         );
     }
+
+    onSearchQueryUpdate(query: string): void {
+        this.searchQuery.emit(query);
+    }
 }