Python: Use correct env var for AOAI Responses Deployment Name in README, Fix Responses config checks (#11379)

### Motivation and Context

Use correct env var for AOAI Responses Deployment Name -
`AZURE_OPENAI_RESPONSES_DEPLOYMENT_NAME` in README.

Similarly check for `.responses_deployment_name` as none, instead of
`.chat_deployment_name`.

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### Description

Use correct env var for AOAI Responses Deployment Name

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These notes will help understanding how your code works. Thanks! -->

### Contribution Checklist

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- [X] The code builds clean without any errors or warnings
- [X] The PR follows the [SK Contribution
Guidelines](https://github.com/microsoft/semantic-kernel/blob/main/CONTRIBUTING.md)
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raises no violations
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Author: moonbox3

python/samples/getting_started_with_agents/openai_responses/README.md

@@ -30,6 +30,6 @@ Please visit the following [link](https://learn.microsoft.com/en-us/azure/ai-ser
 
 #### Environment Variables / Config
 
-`AZURE_OPENAI_RESPONSES_MODEL_ID=""`
+`AZURE_OPENAI_RESPONSES_DEPLOYMENT_NAME=""`
 
 The other Azure OpenAI config values used for AzureAssistantAgent or AzureChatCompletion, like `AZURE_OPENAI_API_VERSION` or `AZURE_OPENAI_ENDPOINT` are still valid for the `AzureResponsesAgent`.

python/samples/getting_started_with_agents/openai_responses/step1_responses_agent.py

@@ -8,6 +8,9 @@
 Azure OpenAI or OpenAI. The sample shows how to have the agent answer
 questions about the world.
 
+Note, in this sample, a thread is not used. This creates a stateless agent. It will
+not be able to recall previous messages, which is expected behavior.
+
 The interaction with the agent is via the `get_response` method, which sends a
 user input to the agent and receives a response from the agent. The conversation
 history is maintained by the agent service, i.e. the responses are automatically

python/semantic_kernel/__init__.py

@@ -2,7 +2,7 @@
 
 from semantic_kernel.kernel import Kernel
 
-__version__ = "1.27.0"
+__version__ = "1.27.1"
 
 DEFAULT_RC_VERSION = f"{__version__}-rc6"
 

python/semantic_kernel/agents/open_ai/azure_responses_agent.py

@@ -102,8 +102,8 @@ def setup_resources(
         if not azure_openai_settings.endpoint:
             raise AgentInitializationException("Please provide an Azure OpenAI endpoint")
 
-        if not azure_openai_settings.chat_deployment_name:
-            raise AgentInitializationException("Please provide an Azure OpenAI deployment name")
+        if not azure_openai_settings.responses_deployment_name:
+            raise AgentInitializationException("Please provide an Azure OpenAI Responses deployment name")
 
         client = AsyncAzureOpenAI(
             azure_endpoint=str(azure_openai_settings.endpoint),
@@ -115,4 +115,4 @@ def setup_resources(
             **kwargs,
         )
 
-        return client, azure_openai_settings.chat_deployment_name
+        return client, azure_openai_settings.responses_deployment_name