Becoming/having become

Schizophrenic Cat

Senior Member

In Nepal, religion is not just a set of beliefs and accompanying rituals handed down from generation to generation; rather, it's a complex mixture of traditions, festivals, faiths, and doctrines that have spreaded the whole Napalese Society in such a way as ----- way as to become the very heartbeat of the nation.

Given this context,
It would be correct to fill in the blank with 'becoming' or 'having become'?
<-----Additional questions have been removed by moderator (Florentia52) and will require their own threads----->

Simple answers that are comprised only of 'yes' or 'no' will do the trick. But any reply is welcome. Thanks in advance.
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