feat(bot,frontend,backend): add integration with external collaborative solver

frontend/src/lib/convex/messages.ts

@@ -146,6 +146,24 @@ export const update = mutation({
 	}
 });
 
+export const setTelegramMessageId = mutation({
+	args: { messageId: v.id('messages'), telegramMessageId: v.number() },
+	returns: v.null(),
+	handler: async (ctx, args) => {
+		await ctx.db.patch(args.messageId, { telegramMessageId: args.telegramMessageId });
+		return null;
+	}
+});
+
+export const getTelegramMessageId = query({
+	args: { messageId: v.id('messages') },
+	returns: v.union(v.number(), v.null()),
+	handler: async (ctx, args) => {
+		const msg = await ctx.db.get(args.messageId);
+		return msg?.telegramMessageId ?? null;
+	}
+});
+
 export const getHistoryForAI = query({
 	args: { chatId: v.id('chats'), limit: v.optional(v.number()) },
 	returns: v.array(