[SECURITY_SOLUTION] Fix URL params being carried across to URL routes for which they do not apply (#80726)

* Fix URL params issue on Admin section
* Fix route location state being dropped during updates to other route properties

x-pack/plugins/security_solution/public/common/components/url_state/helpers.ts

@@ -278,6 +278,7 @@ export const replaceStateInLocation = <T>({
     replaceStateKeyInQueryString(urlStateKey, urlStateToReplace)(getQueryStringFromLocation(search))
   );
   if (history) {
+    newLocation.state = history.location.state;
     history.replace(newLocation);
   }
   return newLocation.search;

x-pack/plugins/security_solution/public/common/utils/route/spy_routes.tsx

@@ -11,6 +11,7 @@ import deepEqual from 'fast-deep-equal';
 
 import { SpyRouteProps } from './types';
 import { useRouteSpy } from './use_route_spy';
+import { SecurityPageName } from '../../../../common/constants';
 
 export const SpyRouteComponent = memo<
   SpyRouteProps & { location: H.Location; pageName: string | undefined }
@@ -50,6 +51,7 @@ export const SpyRouteComponent = memo<
               pathName: pathname,
               state,
               tabName,
+              ...(pageName === SecurityPageName.administration ? { search: search ?? '' } : {}),
             },
           });
           setIsInitializing(false);

x-pack/plugins/security_solution/public/management/pages/trusted_apps/view/trusted_apps_page.tsx

@@ -45,9 +45,7 @@ export const TrustedAppsPage = memo(() => {
       return <BackToExternalAppButton {...routeState} />;
     }
     return null;
-    // FIXME: Route state is being deleted by some parent component
-    // eslint-disable-next-line react-hooks/exhaustive-deps
-  }, []);
+  }, [routeState]);
 
   const addButton = (
     <EuiButton