No. Laundry detergent is formulated for a different appliance and purpose. Similar packaging does not make a capsule suitable for dishes or dishwasher compartments.
Understanding this situation
The chemical and foaming behaviour may differ, and the machine cannot automatically correct an unsuitable dose. Cutting a capsule open or combining it with dishwasher detergent adds further uncertainty.
A useful next step
Use the specified dishwasher product. If a laundry capsule was added accidentally, keep the appliance unused and obtain appropriate manufacturer or product advice. Do not run repeated hot cycles or add another chemical to neutralise it.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.