[website_docs] Update path to spec, run formatter (#4084)

Co-authored-by: Chester Cheung <cheung.zhy.csu@gmail.com>

CONTRIBUTING.md

@@ -150,10 +150,10 @@ Any [Maintainer] can merge the PR once the above criteria have been met.
 ## Design Choices
 
 As with other OpenTelemetry clients, opentelemetry-go follows the
-[OpenTelemetry Specification](https://opentelemetry.io/docs/reference/specification).
+[OpenTelemetry Specification](https://opentelemetry.io/docs/specs/otel).
 
 It's especially valuable to read through the [library
-guidelines](https://opentelemetry.io/docs/reference/specification/library-guidelines).
+guidelines](https://opentelemetry.io/docs/specs/otel/library-guidelines).
 
 ### Focus on Capabilities, Not Structure Compliance
 

website_docs/exporters.md

@@ -10,7 +10,8 @@ and metrics, you will need to export them to a backend.
 ## OTLP endpoint
 
 To send trace data to an OTLP endpoint (like the [collector](/docs/collector) or
-Jaeger >= v1.35.0) you'll want to configure an OTLP exporter that sends to your endpoint.
+Jaeger >= v1.35.0) you'll want to configure an OTLP exporter that sends to your
+endpoint.
 
 ### Using HTTP
 
@@ -30,12 +31,13 @@ func installExportPipeline(ctx context.Context) (func(context.Context) error, er
 }
 ```
 
-To learn more on how to use the OTLP HTTP exporter, try out the [otel-collector](https://github.com/open-telemetry/opentelemetry-go/tree/main/example/otel-collector)
+To learn more on how to use the OTLP HTTP exporter, try out the
+[otel-collector](https://github.com/open-telemetry/opentelemetry-go/tree/main/example/otel-collector)
 
 ### Jaeger
 
 To try out the OTLP exporter, since v1.35.0 you can run
-[Jaeger](https://www.jaegertracing.io/)  as an OTLP endpoint and for trace
+[Jaeger](https://www.jaegertracing.io/) as an OTLP endpoint and for trace
 visualization in a docker container:
 
 ```shell
@@ -48,6 +50,8 @@ docker run -d --name jaeger \
 
 ## Prometheus
 
-Prometheus export is available in the `go.opentelemetry.io/otel/exporters/prometheus` package.
+Prometheus export is available in the
+`go.opentelemetry.io/otel/exporters/prometheus` package.
 
-Please find more documentation on [GitHub](https://github.com/open-telemetry/opentelemetry-go/tree/main/exporters/prometheus)
+Please find more documentation on
+[GitHub](https://github.com/open-telemetry/opentelemetry-go/tree/main/exporters/prometheus)

website_docs/getting-started.md

@@ -190,8 +190,8 @@ With the imports added, you can start instrumenting.
 The OpenTelemetry Tracing API provides a [`Tracer`] to create traces. These
 [`Tracer`]s are designed to be associated with one instrumentation library. That
 way telemetry they produce can be understood to come from that part of a code
-base. To uniquely identify your application to the [`Tracer`] you will
-create a constant with the package name in `app.go`.
+base. To uniquely identify your application to the [`Tracer`] you will create a
+constant with the package name in `app.go`.
 
 ```go
 // name is the Tracer name used to identify this instrumentation library.

website_docs/libraries.md

@@ -9,7 +9,7 @@ weight: 3
 
 Go does not support truly automatic instrumentation like other languages today.
 Instead, you'll need to depend on
-[instrumentation libraries](/docs/reference/specification/glossary/#instrumentation-library)
+[instrumentation libraries](/docs/specs/otel/glossary/#instrumentation-library)
 that generate telemetry data for a particular instrumented library. For example,
 the instrumentation library for `net/http` will automatically create spans that
 track inbound and outbound requests once you configure it in your code.

website_docs/manual.md

@@ -297,7 +297,6 @@ After configuring context propagation, you'll most likely want to use automatic
 instrumentation to handle the behind-the-scenes work of actually managing
 serializing the context.
 
-[opentelemetry specification]: /docs/reference/specification/
-[trace semantic conventions]:
-  /docs/reference/specification/trace/semantic_conventions/
+[opentelemetry specification]: /docs/specs/otel/
+[trace semantic conventions]: /docs/specs/otel/trace/semantic_conventions/
 [instrumentation library]: ../libraries/