An ability that triggers on an event that causes a creature to die doesn't trigger twice. For example, an ability that triggers “whenever you sacrifice a creature” triggers only once.
Teysa Karlov
Teysa affects a creature's own “when this creature dies” triggered abilities as well as other triggered abilities that trigger when that creature dies. Such triggered abilities start with “when” or “whenever.”
If you somehow control two Teysas, a creature dying causes abilities to trigger three times, not four. A third Teysa causes abilities to trigger four times, a fourth causes abilities to trigger five times, and so on. This also means that if you control Teysa and cast a second one, an ability that triggers when it dies due to the “legend rule” triggers three times.
Magic: The Gathering · ™ & © Wizards of the Coast · Illus. Jack Hughes
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