The reason is that US President Donald Trump's legal battle over the institution's renovation and name has temporarily closed it.
In addition to Anka and Garcia, producer and songwriter David Foster, director and playwright David Mamet, and singer and actor Barbara Mandrell will be honored.
Unlike previous presidents, Trump presided over the center's ceremonies during his first term. During his current term, however, he has fired the old board, replaced its members with loyalists and taken over as chairman.
Anka, Mamet and Foster have all expressed support for Trump and conservative policies.
This year's awards gala will be held on December 7 at Capital One Arena in Washington, DC.
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