feat: implement a search for professors

src/components/schedule-tabs/schedule-tabs-professor/schedule-tabs-professor.component.html

@@ -0,0 +1,18 @@
+<div class="search-content">
+  @if (teachers.length === 0) {
+    <app-data-spinner/>
+  } @else {
+    <mat-form-field color="accent" style="width: 100%;">
+      <input type="text" placeholder="Поиск..." matInput [formControl]="teacherControl" [matAutocomplete]="auto">
+
+      <mat-autocomplete #auto="matAutocomplete" (optionSelected)="onOptionSelected($event)"
+                        [autoActiveFirstOption]="false" [hideSingleSelectionIndicator]="true">
+        @for (option of filteredTeachers | async; track option) {
+          <mat-option [value]="option.id">
+            {{ option.name }}
+          </mat-option>
+        }
+      </mat-autocomplete>
+    </mat-form-field>
+  }
+</div>