docs: Added illustration of using RetryOutputParser with LLMChain (#16722)

**Description:**
Updated the retry.ipynb notebook, it contains the illustrations of
RetryOutputParser in LangChain. But the notebook lacks to explain the
compatibility of RetryOutputParser with existing chains. This changes
adds some code to illustrate the workflow of using RetryOutputParser
with the user chain.

Changes:
1. Changed RetryWithErrorOutputParser with RetryOutputParser, as the
markdown text says so.
2. Added code at the last of the notebook to define a chain which passes
the LLM completions to the retry parser, which can be customised for
user needs.

**Issue:** 
Since RetryOutputParser/RetryWithErrorOutputParser does not implement
the parse function it cannot be used with LLMChain directly like
[this](https://python.langchain.com/docs/expression_language/cookbook/prompt_llm_parser#prompttemplate-llm-outputparser).
This also raised various issues #15133 #12175 #11719 still open, instead
of adding new features/code changes its best to explain the "how to
integrate LLMChain with retry parsers" clearly with an example in the
corresponding notebook.

Inspired from:
https://github.com/langchain-ai/langchain/issues/15133#issuecomment-1868972580

---------

Co-authored-by: Harrison Chase <hw.chase.17@gmail.com>

docs/docs/modules/model_io/output_parsers/types/retry.ipynb

@@ -174,7 +174,7 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "from langchain.output_parsers import RetryWithErrorOutputParser"
+    "from langchain.output_parsers import RetryOutputParser"
    ]
   },
   {
@@ -184,9 +184,7 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "retry_parser = RetryWithErrorOutputParser.from_llm(\n",
-    "    parser=parser, llm=OpenAI(temperature=0)\n",
-    ")"
+    "retry_parser = RetryOutputParser.from_llm(parser=parser, llm=OpenAI(temperature=0))"
    ]
   },
   {
@@ -210,6 +208,41 @@
     "retry_parser.parse_with_prompt(bad_response, prompt_value)"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "id": "16827256-5801-4388-b6fa-608991e29961",
+   "metadata": {},
+   "source": [
+    "We can also add the RetryOutputParser easily with a custom chain which transform the raw LLM/ChatModel output into a more workable format."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "7eaff2fb-56d3-481c-99a1-a968a49d0654",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Action(action='search', action_input='leo di caprio girlfriend')\n"
+     ]
+    }
+   ],
+   "source": [
+    "from langchain_core.runnables import RunnableLambda, RunnableParallel\n",
+    "\n",
+    "completion_chain = prompt | OpenAI(temperature=0)\n",
+    "\n",
+    "main_chain = RunnableParallel(\n",
+    "    completion=completion_chain, prompt_value=prompt\n",
+    ") | RunnableLambda(lambda x: retry_parser.parse_with_prompt(**x))\n",
+    "\n",
+    "\n",
+    "main_chain.invoke({\"query\": \"who is leo di caprios gf?\"})"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": null,
@@ -235,7 +268,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.10.1"
+   "version": "3.9.13"
   }
  },
  "nbformat": 4,