feat(app): migrate video search chain

src/lib/prompts/media/videos.ts

@@ -0,0 +1,25 @@
+import { BaseMessageLike } from "@langchain/core/messages";
+
+export const videoSearchPrompt = `
+You will be given a conversation below and a follow up question. You need to rephrase the follow-up question so it is a standalone question that can be used by the LLM to search Youtube for videos.
+You need to make sure the rephrased question agrees with the conversation and is relevant to the conversation.
+Output only the rephrased query wrapped in an XML <query> element. Do not include any explanation or additional text.
+`;
+
+export const videoSearchFewShots: BaseMessageLike[] = [
+    [
+        'user',
+        '<conversation>\n</conversation>\n<follow_up>\nHow does a car work?\n</follow_up>',
+    ],
+    ['assistant', '<query>How does a car work?</query>'],
+    [
+        'user',
+        '<conversation>\n</conversation>\n<follow_up>\nWhat is the theory of relativity?\n</follow_up>',
+    ],
+    ['assistant', '<query>Theory of relativity</query>'],
+    [
+        'user',
+        '<conversation>\n</conversation>\n<follow_up>\nHow does an AC work?\n</follow_up>',
+    ],
+    ['assistant', '<query>AC working</query>'],
+]