I hope you are doing fine.
Please see https://confluence.atlassian.com/adminjiracloud/connect-jira-cloud-to-bitbucket-814188428.html for integration between JIRA and GitHub. You may need to provide details of your GitHub instance for connecting as per the config mentioned in this link.
Please check and let me know if this helped you to achieve your requirement.
Thank you for your answer! I was wondering if you meant to send this https://support.atlassian.com/jira-cloud-administration/docs/integrate-with-github/ link ? Or is there something specific to read in bitbucket guide ?
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