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California permits has a conversion form: https://bpd.cdn.sos.ca.gov/corp/pdf/articles/conv-llc-gs.pdf

IRS agent (for employers) on phone said NO ein change required because it's already an S Corp in their system (because business name is on line 1 of IRS entry for the entity and individual owner name is on line 2 of IRS entry for the entity, versus the other way around for sole props)