Yes.'heart transplant operation' is an object in the passive. So, we use passive structure.
Another reference is that we use gerund (and in other cases the infinitive) after verbs such as: see, watch, notice, listen, etc. The gerund and the past participle fit here.
Also, whether we use done (based on a general fact) or being done (based on a continuous action happening during the operation) the meaning is acceptable.
Best Regards
Best Regards.
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