Yes, in many natural language understanding (NLU) platforms or dialog systems, you can have overlapping training phrases or utterances in different intents. However, it's important to consider how your platform or system handles such cases and how it resolves conflicts if the same phrase appears in multiple intents.
Having the training phrase "payments" in both the 'Agent' and 'Make a Payment' intents could lead to ambiguity for the system. It might struggle to determine the correct intent for this particular phrase because it's present in more than one intent.
To mitigate potential confusion, you might consider adding more specific keywords or phrases that distinctly differentiate between the two intents.
Please indicate more information for the full resolution of your use case.
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