Based on the documentation below, I don't believe this can be achieved natively.
https://help.genesys.cloud/articles/configure-attempt-limits-entry/
While Genesys Cloud allows you to configure multiple recall attempts (up to 100), the Minutes Between Attempts is configured as a single fixed value for each recall type (No Answer, Busy, Machine, or Fax). The same interval is then applied to every recall attempt for that recall type.
For example, you can configure:
3 recall attempts every 2 hours.
3 recall attempts every 3 days (using Recall Controls Per Phone Type, when applicable).
However, I couldn't find a way to configure different intervals for each recall attempt, such as:
1st recall after 2 hours.
2nd recall after 22 hours.
3rd recall after 3 days (excluding weekends).
For that type of requirement, you would likely need to use a custom approach, such as multiple campaigns or another list management strategy.
In any case, you can also check with the Ask Me Anything assistant in the Orchestrators Portal or open a Customer Care case to confirm whether there are any newer capabilities or alternative approaches for this scenario.
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Raphael Poliesi
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