webui: Conversation forking + branching improvements (#21021)

* refactor: Make `DialogConfirmation` extensible with children slot

* feat: Add conversation forking logic

* feat: Conversation forking UI

* feat: Update delete/edit dialogs and logic for forks

* refactor: Improve Chat Sidebar UX and add MCP Servers entry

* refactor: Cleanup

* feat: Update message in place when editing leaf nodes

* chore: Cleanup

* chore: Cleanup

* chore: Cleanup

* chore: Cleanup

* chore: Cleanup

* chore: Cleanup

* refactor: Post-review improvements

* chore: update webui build output

* test: Update Storybook test

* chore: update webui build output

* chore: update webui build output

tools/server/webui/src/lib/components/app/dialogs/DialogConfirmation.svelte

@@ -1,6 +1,6 @@
 <script lang="ts">
 	import * as AlertDialog from '$lib/components/ui/alert-dialog';
-	import type { Component } from 'svelte';
+	import type { Component, Snippet } from 'svelte';
 	import { KeyboardKey } from '$lib/enums';
 
 	interface Props {
@@ -14,6 +14,7 @@
 		onConfirm: () => void;
 		onCancel: () => void;
 		onKeydown?: (event: KeyboardEvent) => void;
+		children?: Snippet;
 	}
 
 	let {
@@ -26,7 +27,8 @@
 		icon,
 		onConfirm,
 		onCancel,
-		onKeydown
+		onKeydown,
+		children
 	}: Props = $props();
 
 	function handleKeydown(event: KeyboardEvent) {
@@ -60,6 +62,10 @@
 			</AlertDialog.Description>
 		</AlertDialog.Header>
 
+		{#if children}
+			{@render children()}
+		{/if}
+
 		<AlertDialog.Footer>
 			<AlertDialog.Cancel onclick={onCancel}>{cancelText}</AlertDialog.Cancel>
 			<AlertDialog.Action