Push data from Monday board to specific field in a Jira ticket

Hi Team,
Just like the title says, my org is looking for a way to populate a field in a Monday.com board and have that value pushed to a specific field on a Jira ticket. We want to use this workflow to help manage our critical customer product support tickets. Looking at the available Jira integrations, I don’t see any that will allow us to update existing Jira content as opposed to creating new issues.

The Salesforce integration, for instance, does allow us to update existing content. Is there any way to push updates to existing Jira tickets using out-of-the-box Monday functionality? If not, what other options exist?
Thank you!