Fix links and improve README content (#859)

Updated docs links in README.md for accuracy and clarity.

Author: lnhsingh

README.md

@@ -10,15 +10,15 @@
   <h1>Open SWE - An Open-Source Asynchronous Coding Agent</h1>
 </div>
 
-Open SWE is an open-source cloud-based asynchronous coding agent built with [LangGraph](https://langchain-ai.github.io/langgraphjs/). It autonomously understands codebases, plans solutions, and executes code changes across entire repositories—from initial planning to opening pull requests.
+Open SWE is an open-source cloud-based asynchronous coding agent built with [LangGraph](https://docs.langchain.com/oss/javascript/langgraph/overview). It autonomously understands codebases, plans solutions, and executes code changes across entire repositories—from initial planning to opening pull requests.
 
 > [!TIP]
 > Try out Open SWE yourself using our [public demo](https://swe.langchain.com)!
 >
 > **Note: you're required to set your own LLM API keys to use the demo.**
 
 > [!NOTE]
-> 📚 See the **Open SWE documentation [here](https://docs.langchain.com/labs/swe/)**
+> 📚 See the **Open SWE documentation files [here](https://github.com/langchain-ai/open-swe/tree/main/apps/docs)**
 >
 > 💬 Read the **announcement blog post [here](https://blog.langchain.com/introducing-open-swe-an-open-source-asynchronous-coding-agent/)**
 >
@@ -38,10 +38,6 @@ Open SWE is an open-source cloud-based asynchronous coding agent built with [Lan
 
 Open SWE can be used in multiple ways:
 
-- 🖥️ **From the UI**. You can create, manage and execute Open SWE tasks from the [web application](https://swe.langchain.com). See the ['From the UI' page](https://docs.langchain.com/labs/swe/usage/ui) in the docs for more information.
-- 📝 **From GitHub**. You can start Open SWE tasks directly from GitHub issues simply by adding a label `open-swe`, or `open-swe-auto` (adding `-auto` will cause Open SWE to automatically accept the plan, requiring no intervention from you). For enhanced performance on complex tasks, use `open-swe-max` or `open-swe-max-auto` labels which utilize Claude Opus 4.1 for both planning and programming. See the ['From GitHub' page](https://docs.langchain.com/labs/swe/usage/github) in the docs for more information.
-
-# Documentation
-
-To get started using Open SWE locally, see the [documentation here](https://docs.langchain.com/labs/swe/).
+- 🖥️ **From the UI**. You can create, manage and execute Open SWE tasks from the [web application](https://swe.langchain.com).
+- 📝 **From GitHub**. You can start Open SWE tasks directly from GitHub issues simply by adding a label `open-swe`, or `open-swe-auto` (adding `-auto` will cause Open SWE to automatically accept the plan, requiring no intervention from you). For enhanced performance on complex tasks, use `open-swe-max` or `open-swe-max-auto` labels which utilize Claude Opus 4.1 for both planning and programming.