chore(svelte): Update to latest cody web version (#63732)

Yet another PR to get cody web up-to-date in the new web app.

## Test plan
Manual testing.

client/web-sveltekit/package.json

@@ -92,7 +92,7 @@
     "@sourcegraph/wildcard": "workspace:*",
     "@storybook/test": "^8.0.5",
     "@urql/core": "^4.2.3",
-    "cody-web-experimental": "^0.2.1",
+    "cody-web-experimental": "^0.2.3",
     "copy-to-clipboard": "^3.3.1",
     "fzf": "^0.5.2",
     "highlight.js": "^10.0.0",

client/web-sveltekit/src/lib/cody/CodySidebarChat.svelte

@@ -1,11 +1,14 @@
 <script lang="ts">
-    import { CodyWebChat, CodyWebChatProvider } from 'cody-web-experimental'
     import { createElement } from 'react'
+
+    import { CodyWebChat, CodyWebChatProvider } from 'cody-web-experimental'
     import { createRoot, type Root } from 'react-dom/client'
     import { onDestroy } from 'svelte'
+
     import type { CodySidebar_ResolvedRevision } from './CodySidebar.gql'
 
     import 'cody-web-experimental/dist/style.css'
+
     import { createLocalWritable } from '$lib/stores'
 
     export let repository: CodySidebar_ResolvedRevision
@@ -72,6 +75,12 @@
         --vscode-editor-font-size: var(--code-font-size);
         --mention-color-opacity: 100%;
 
+        // LLM picker tokens
+        --vscode-quickInput-background: var(--dropdown-bg);
+        --vscode-dropdown-border: var(--border-color);
+        --vscode-dropdown-foreground: var(--body-color);
+        --vscode-foreground: var(--body-color);
+
         line-height: 1.55;
         flex: 1;
         min-height: 0;

pnpm-lock.yaml

@@ -1594,8 +1594,8 @@ importers:
         specifier: ^4.2.3
         version: 4.2.3(graphql@15.4.0)
       cody-web-experimental:
-        specifier: ^0.2.1
-        version: 0.2.1
+        specifier: ^0.2.3
+        version: 0.2.3
       copy-to-clipboard:
         specifier: ^3.3.1
         version: 3.3.1
@@ -14545,10 +14545,6 @@ packages:
     resolution: {integrity: sha512-19Jox5sAKpusTDgqgKB5dawPpQcY+ipQK7xoEI+MVucEF9qqFaXpeqY1KaoyGBso/wHQoDa4HMMxMjdsS3Zzzw==}
     dev: false
 
-  /cody-web-experimental@0.2.1:
-    resolution: {integrity: sha512-ci7wRIOaxpD+xZ5ecR0IYeJhxAai4meIUNVGXzjUATYiRx3+755kWtrWRbvPGhmE+2jF1KB2DKKd+pyGKmfbdg==}
-    dev: false
-
   /cody-web-experimental@0.2.3:
     resolution: {integrity: sha512-Wymn3jVlnZMC/ww16x8RtCuoFwVfkk3A43Bzb16xIszZpDGS1DUBsyuqw+gHkO96w1GxfH+phP3EZpZrTm3X3w==}
     dev: false