mussar ethics - The Orchos Tzaddikim in Shaar HaSimcha: What does Purim have to do with remembering the Exodus?

The Orchos Tzaddikim in the end of Shaar HaSimcha writes:

(Source from Sefaria.org)

גם צריך לשמוח בשבתות וימים טובים ופורים, כי כולם לזכר יציאת מצרים ולזכר הנסים שהפליא עם בחיריו

It is also necessary to rejoice on Sabbaths, Festivals and on Purim because all of them are a memorial to our exodus from Egypt and of the miracles which He has done wondrously with His chosen ones.

What does Purim have to do with remembering the Exodus from Egypt¹?

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_{1. While it can also be asked "What does the Sabbath have to do with remembering the Exodus?" or "What do the festivals have to do with remembering the Exodus?" the connection between Purim and remembering the Exodus is what intrigues the author of this question.}