docs: add Spring AI sample application

examples/spring-ai-example/.mvn/wrapper/maven-wrapper.properties

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+# Licensed to the Apache Software Foundation (ASF) under one
+# or more contributor license agreements.  See the NOTICE file
+# distributed with this work for additional information
+# regarding copyright ownership.  The ASF licenses this file
+# to you under the Apache License, Version 2.0 (the
+# "License"); you may not use this file except in compliance
+# with the License.  You may obtain a copy of the License at
+#
+#   http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing,
+# software distributed under the License is distributed on an
+# "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+# KIND, either express or implied.  See the License for the
+# specific language governing permissions and limitations
+# under the License.
+wrapperVersion=3.3.2
+distributionType=only-script
+distributionUrl=https://repo.maven.apache.org/maven2/org/apache/maven/apache-maven/3.9.9/apache-maven-3.9.9-bin.zip

examples/spring-ai-example/README.md

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+# Spring AI sample application
+
+## Prerequisites
+
+- Java 21+
+- An Openlayer API key
+- An OpenAI API key
+
+## How to run
+
+1. Set the environment variables.
+   ```
+   export SPRING_AI_OPENAI_APIKEY="sk-proj-xxx"
+   export OTEL_EXPORTER_OTLP_ENDPOINT="https://api.openlayer.ai/v1/otel"
+   export OTEL_EXPORTER_OTLP_HEADERS=""Authorization=Bearer YOUR_OPENLAYER_API_KEY, x-bt-parent=pipeline_id:YOUR_OPENLAYER_PIPELINE_ID""
+   ```
+2. Run the application with `./mvnw clean install spring-boot:run`.
+3. Call the chat endpoint with `curl localhost:8080/v1/chat`.
+
+The trace will automatically be sent to Openlayer.