feat: Persist new stories and improve layout consistency

webclient/src/Feed.js

@@ -56,6 +56,9 @@ function Feed({ updateCache }) {
 								currentStories.splice(existingStoryIndex, 1);
 							}
 							currentStories.unshift(newStory);
+
+							localStorage.setItem('stories', JSON.stringify(currentStories));
+							setStories(currentStories);
 						} catch (error) {
 							let errorMessage;
 							if (error.name === 'AbortError') {