How could I export a set of logs from ELK to another source, ideally in json format?

Elastic Stack Logstash
1

To get a little more specific.. I am almost entirely new to ELK, so forgive my lack of knowledge.

I am trying to export a set of logs for a given timeframe and matching tags over to DataDog. It would look something like this:

For logs matching service_name = svcName && environment = PROD && timeframe = last 3 days, export those logs as as json format.

I would then take that json and ingest them into DataDog.

Shipping the logs over in mass to DD is not an option, so I'm trying to achieve this as an ad-hoc process only when needed to tie some information together.

Thanks in advance for any insight!