Access/Query JIRA data

We have a use case where we want to consume JIRA cloud data and build application on top of that ( or combine it with data in our servers)
Currently the api has a limitation of 1000 tickets per hit.
Since the volume of tickets we have is very high, so hitting API for every 1000 tickets will cross our rate limit.

Any suggestion on how do we access/query the JIRA data? Or it there is an efficient way to make a pipeline bring it to our servers?
Any help would be highly appreciated.