[Cloud Run] Add service label instructions to sidecar docs & other nits (#31266)

* Add `DD_SERVERLESS_LOG_PATH` to sidecar docs

* Add better practice python tracer installation

* (chore): extract service label step into it's own shortcode

* add service label to sidecar docs

Author: nhulston

content/en/serverless/google_cloud_run/containers/in_process/dotnet.md

@@ -70,6 +70,8 @@ logger.LogInformation("Hello World!");
 
 {{% gcr-configure %}}
 
+5. {{% gcr-service-label %}}
+
 6. **Send custom metrics**.
 
    To send custom metrics, [install the DogStatsD client][4] and [view code examples][5].

content/en/serverless/google_cloud_run/containers/in_process/go.md

@@ -65,6 +65,8 @@ go get github.com/DataDog/dd-trace-go/contrib/net/http/v2
 
 {{% gcr-configure%}}
 
+5. {{% gcr-service-label %}}
+
 6. **Send custom metrics**.
 
    To send custom metrics, [install the DogStatsD client][4] and [view code examples][5].

content/en/serverless/google_cloud_run/containers/in_process/java.md

@@ -80,6 +80,8 @@ logger.info("Hello World!");
 
 {{% gcr-configure%}}
 
+5. {{% gcr-service-label %}}
+
 6. **Send custom metrics**.
 
    To send custom metrics, [install the DogStatsD client][3] and [view code examples][4].

content/en/serverless/google_cloud_run/containers/in_process/nodejs.md

@@ -73,6 +73,8 @@ logger.info(`Hello world!`);
 
 {{% gcr-configure %}}
 
+5. {{% gcr-service-label %}}
+
 6. **Send custom metrics**.
 
    To send custom metrics, [view code examples][3].

content/en/serverless/google_cloud_run/containers/in_process/php.md

@@ -49,6 +49,8 @@ apk add libgcc
 
 {{% gcr-configure %}}
 
+5. {{% gcr-service-label %}}
+
 6. **Send custom metrics**.
 
    To send custom metrics, [install the DogStatsD client][3] and [view code examples][4].

content/en/serverless/google_cloud_run/containers/in_process/python.md

@@ -16,17 +16,23 @@ further_reading:
 
 <div class="alert alert-info">A sample application is <a href="https://github.com/DataDog/serverless-gcp-sample-apps/tree/main/cloud-run/in-process/python">available on GitHub</a>.</div>
 
-1. **Install the Datadog Python tracer** in your Dockerfile.
+1. **Install the Datadog Python tracer**.
 
+   Add `ddtrace` to your `requirements.txt` or `pyproject.toml`. You can find the latest version on [PyPI][1]:
+   {{< code-block lang="text" filename="requirements.txt" disable_copy="false" collapsible="true" >}}
+ddtrace==<VERSION>
+{{< /code-block >}}
+
+   Alternatively, you can install the tracer in your Dockerfile:
    {{< code-block lang="dockerfile" filename="Dockerfile" disable_copy="false" collapsible="true" >}}
-RUN pip install --target /dd_tracer/python/ ddtrace
+RUN pip install ddtrace
 {{< /code-block >}}
 
-   For more information, see [Tracing Python applications][1].
+   For more information, see [Tracing Python applications][2].
 
 2. **Install serverless-init**.
 
-   {{% gcr-install-serverless-init cmd="\"/dd_tracer/python/bin/ddtrace-run\", \"python\", \"path/to/your/python/app.py\"" %}}
+   {{% gcr-install-serverless-init cmd="\"ddtrace-run\", \"python\", \"path/to/your/python/app.py\"" %}}
 
 3. **Set up logs**.
 
@@ -58,15 +64,17 @@ logger = structlog.get_logger()
 logger.info("Hello world!")
 {{< /code-block >}}
 
-   For more information, see [Correlating Python Logs and Traces][2].
+   For more information, see [Correlating Python Logs and Traces][3].
 
 4. **Configure your application**.
 
 {{% gcr-configure %}}
 
+5. {{% gcr-service-label %}}
+
 6. **Send custom metrics**.
 
-   To send custom metrics, [install the DogStatsD client][3] and [view code examples][4].
+   To send custom metrics, [install the DogStatsD client][4] and [view code examples][5].
 
 {{% gcr-env-vars instrumentationMethod="in-process" language="python" %}}
 
@@ -78,7 +86,8 @@ logger.info("Hello world!")
 
 {{< partial name="whats-next/whats-next.html" >}}
 
-[1]: /tracing/trace_collection/automatic_instrumentation/dd_libraries/python
-[2]: /tracing/other_telemetry/connect_logs_and_traces/python/
-[3]: /developers/dogstatsd/?tab=python#install-the-dogstatsd-client
-[4]: /metrics/custom_metrics/dogstatsd_metrics_submission/?tab=python#code-examples
+[1]: https://pypi.org/project/ddtrace/
+[2]: /tracing/trace_collection/automatic_instrumentation/dd_libraries/python
+[3]: /tracing/other_telemetry/connect_logs_and_traces/python/
+[4]: /developers/dogstatsd/?tab=python#install-the-dogstatsd-client
+[5]: /metrics/custom_metrics/dogstatsd_metrics_submission/?tab=python#code-examples

content/en/serverless/google_cloud_run/containers/in_process/ruby.md

@@ -52,6 +52,8 @@ logger.info "Hello world!"
 
 {{% gcr-configure %}}
 
+5. {{% gcr-service-label %}}
+
 6. **Send custom metrics**.
 
    To send custom metrics, [install the DogStatsD client][3] and [view code examples][4].

content/en/serverless/google_cloud_run/containers/sidecar/dotnet.md

@@ -85,7 +85,9 @@ logger.LogInformation("Hello World!");
 
    For more information, see [Correlating .NET Logs and Traces][3].
 
-4. **Send custom metrics**.
+4. {{% gcr-service-label %}}
+
+5. **Send custom metrics**.
 
    To send custom metrics, [install the DogStatsD client][4] and [view code examples][5].
 

content/en/serverless/google_cloud_run/containers/sidecar/go.md

@@ -82,7 +82,9 @@ logrus.WithContext(ctx).Info("Hello World!")
 
    For more information, see [Correlating Go Logs and Traces][3].
 
-4. **Send custom metrics**.
+4. {{% gcr-service-label %}}
+
+5. **Send custom metrics**.
 
    To send custom metrics, [install the DogStatsD client][4] and [view code examples][5].
 

content/en/serverless/google_cloud_run/containers/sidecar/java.md

@@ -93,7 +93,9 @@ logger.info("Hello World!");
 
    For more information, see [Correlating Java Logs and Traces][2].
 
-4. **Send custom metrics**.
+4. {{% gcr-service-label %}}
+
+5. **Send custom metrics**.
 
    To send custom metrics, [install the DogStatsD client][3] and [view code examples][4].