Prometheus vs Cloud watch metrics style (java)

I am coming from Prometheus background to monitor my Java based apps. The Prometheus library to publish metrics is straighforward, we have Counters, Gauges etc If I want to count the number of times my Spring Controller was called I could just use counter.incr()

Now we are moving to AWS and use CloudWatch to monitor the fargate container where the java app is running. However I want to publish same metrics in CloudWatch as I did in Prometheus.

Reading CloudWatch docs on publishing metrics didn't make sense to me. Here is the snapshot from the java doc example

Dimension dimension = new Dimension()
    .withName("UNIQUE_PAGES")
    .withValue("URLS");

MetricDatum datum = new MetricDatum()
    .withMetricName("PAGES_VISITED")
    .withUnit(StandardUnit.None)
    .withValue(data_point)
    .withDimensions(dimension);

PutMetricDataRequest request = new PutMetricDataRequest()
    .withNamespace("SITE/TRAFFIC")
    .withMetricData(datum);

I don't understand how to use it to count my Controller calls. Should it be something like this ?

@GetMapping()
String method(){
Dimension dimension = new Dimension()
    .withName("controller_cnt")
    .withValue("MyClass");

MetricDatum datum = new MetricDatum()
    .withMetricName("controller_cnt")
    .withUnit(StandardUnit.None)
    .withValue(1/*was called once*/)
    .withDimensions(dimension);

PutMetricDataRequest request = new PutMetricDataRequest()
    .withNamespace("SITE/TRAFFIC")
    .withMetricData(datum);
...call put metrics request
}