feat: add discord rich presence (#105)

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### Issue

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### Attestations

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- [ ] I have read and agree to the [Community Guidelines](https://docs.nhcarrigan.com/community/guide/).
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### Dependencies

- [ ] I have pinned the dependencies to a specific patch version.

### Style

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### Tests

- [ ] My contribution adds new code, and I have added tests to cover it.
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Reviewed-on: #105
Co-authored-by: Naomi Carrigan <commits@nhcarrigan.com>
Co-committed-by: Naomi Carrigan <commits@nhcarrigan.com>

src/routes/+page.svelte

@@ -2,7 +2,13 @@
   import { onMount, onDestroy } from "svelte";
   import { invoke } from "@tauri-apps/api/core";
   import { get } from "svelte/store";
-  import { initializeTauriListeners, cleanupTauriListeners } from "$lib/tauri";
+  import {
+    initializeTauriListeners,
+    cleanupTauriListeners,
+    initializeDiscordRpc,
+    stopDiscordRpc,
+    updateDiscordRpc,
+  } from "$lib/tauri";
   import { configStore, applyTheme, applyFontSize, isCompactMode } from "$lib/stores/config";
   import { initNotificationSync, cleanupNotificationSync } from "$lib/stores/notifications";
   import { conversationsStore } from "$lib/stores/conversations";
@@ -57,6 +63,24 @@
     }
   });
 
+  // Get reactive references to conversation stores
+  const activeConversationId = conversationsStore.activeConversationId;
+  const conversations = conversationsStore.conversations;
+
+  // Update Discord RPC when active conversation or model changes
+  $effect(() => {
+    // Access stores directly (without get()) to create reactive dependencies
+    const activeId = $activeConversationId;
+    const convs = $conversations;
+    const activeConv = activeId ? convs.get(activeId) : null;
+    const config = configStore.getConfig();
+    const model = config.model || "claude";
+
+    if (activeConv && config.discord_rpc_enabled) {
+      updateDiscordRpc(activeConv.name, model, activeConv.startedAt);
+    }
+  });
+
   // Window size constants
   const COMPACT_WIDTH = 280;
   const COMPACT_HEIGHT = 400;
@@ -356,6 +380,9 @@
         const window = getCurrentWindow();
         await window.setSize(new LogicalSize(COMPACT_WIDTH, COMPACT_HEIGHT));
       }
+
+      // Initialize Discord RPC
+      await initializeDiscordRpc();
     }
   });
 
@@ -363,6 +390,7 @@
     if (initialized) {
       cleanupTauriListeners();
       cleanupNotificationSync();
+      stopDiscordRpc();
       window.removeEventListener("keydown", handleGlobalKeydown);
       initialized = false;
     }