Save data table filters in session storage (#20894)

* Save data table filters in session storage

* typing fix

* remove url logic, rename storage key

src/components/ha-filter-devices.ts

@@ -41,6 +41,9 @@ export class HaFilterDevices extends LitElement {
 
     if (!this.hasUpdated) {
       loadVirtualizer();
+      if (this.value?.length) {
+        this._findRelated();
+      }
     }
   }