AWS CDK v2 Java maven alpha dependencies - amazon-web-services

Question

I started out with the CDK generated dependencies
<dependency>
<groupId>software.amazon.awscdk</groupId>
<artifactId>aws-cdk-lib</artifactId>
<version>${cdk.version}</version>
</dependency>
<dependency>
<groupId>software.constructs</groupId>
<artifactId>constructs</artifactId>
<version>${constructs.version}</version>
</dependency>
But those don't resolve e.g. the HttpApi from API Gateway v2(?)
HttpApi httpApi = HttpApi.Builder.create(this, "MyApi").build();
so I added (since it's apparently in alpha on the CDK level?)
<dependency>
<groupId>software.amazon.awscdk</groupId>
<artifactId>apigatewayv2-alpha</artifactId>
<version>2.24.1-alpha.0</version>
</dependency>
and the next stop was LambdaProxyIntegration
Integration lambdaIntegration = LambdaProxyIntegration.Builder.create().handler(lambda).build();
so I tried adding
<dependency>
<groupId>software.amazon.awscdk</groupId>
<artifactId>apigatewayv2-integrations-alpha</artifactId>
<version>2.65.0-alpha.0</version>
</dependency>
and
<dependency>
<groupId>com.amazonaws</groupId>
<artifactId>aws-lambda-java-events</artifactId>
<version>3.10.0</version>
</dependency>
but no go. Is there some better way of hunting down these maven dependencies that googling around. Would the LambdaProxyIntegration class be in some lambda dependency? Or in some lambda-alpha?
Thanks in advance,
Nik