fix small syntax errors in prompt engineering how-to (#641)

Author: isahers1

docs/prompt_engineering/how_to_guides/prompts/manage_prompts_programatically.mdx

@@ -59,7 +59,7 @@ To create a new prompt or update an existing prompt, you can use the `push promp
 
 <CodeTabs
   tabs={[
-    PythonBlock(`from langsmith import client
+    PythonBlock(`from langsmith import Client
 from langchain_core.prompts import ChatPromptTemplate\n
 client = Client()\n
 prompt = ChatPromptTemplate.from_template("tell me a joke about {topic}")
@@ -77,7 +77,9 @@ print(url)
     TypeScriptBlock(`import * as hub from "langchain/hub";
 import { ChatPromptTemplate } from "@langchain/core/prompts";\n
 const prompt = ChatPromptTemplate.fromTemplate("tell me a joke about {topic}");
-const url = hub.push("joke-generator", chain);
+const url = hub.push("joke-generator", {
+  object: prompt,
+});
 // url is a link to the prompt in the UI
 console.log(url);
 `),
@@ -91,7 +93,7 @@ The provider must be supported by the LangSmith playground. (see settings here:
 
 <CodeTabs
   tabs={[
-    PythonBlock(`from langsmith import client
+    PythonBlock(`from langsmith import Client
 from langchain_core.prompts import ChatPromptTemplate
 from langchain_openai import ChatOpenAI\n
 client = Client()
@@ -116,7 +118,9 @@ import { ChatOpenAI } from "@langchain/openai";\n
 const model = new ChatOpenAI({ model: "gpt-4o-mini" });\n
 const prompt = ChatPromptTemplate.fromTemplate("tell me a joke about {topic}");
 const chain = prompt.pipe(model);\n
-await hub.push("joke-generator-with-model", chain);`),
+await hub.push("joke-generator-with-model", {
+  object: chain
+});`),
   ]}
   groupId="client-language"
 />
@@ -131,7 +135,7 @@ To pull a **public prompt** from the LangChain Hub, you need to specify the hand
 
 <CodeTabs
   tabs={[
-    PythonBlock(`from langsmith import client
+    PythonBlock(`from langsmith import Client
 from langchain_openai import ChatOpenAI\n
 client = Client()\n
 prompt = client.pull_prompt("joke-generator")
@@ -161,7 +165,7 @@ Make sure you have the proper environment variables set for the model you are us
 
 <CodeTabs
   tabs={[
-    PythonBlock(`from langsmith import client\n
+    PythonBlock(`from langsmith import Client\n
 client = Client()
 chain = client.pull_prompt("joke-generator-with-model", include_model=True)
 chain.invoke({"topic": "cats"})`),