I'm trying to push leads from clay into lemlist campaign, in the campaign I have the first step that only "deliverable" email status will proceed, I enabled this option (screenshot) thinking that

The Lemlist integration in Clay sends lead data to Lemlist, but it doesn’t automatically trigger Lemlist’s email enrichment or verification features. Even if you enable the “Email enrichment” option in Clay, you’ll still need to manually enrich or verify emails in Lemlist after the leads arrive. The integration is designed to push data, not to activate Lemlist’s enrichment workflows automatically. [documentation [https://university.clay.com/docs/lemlist-integration-overview]

Well, it does say that if switched on, lemlist will enrich it

Glad I could help. Let me know if you need anything else.

The Lemlist integration in Clay sends lead data to Lemlist, but it doesn’t automatically enrich or verify emails in Lemlist. You’ll need to enrich emails in Lemlist manually after they arrive. The integration is designed to push data, not trigger Lemlist’s enrichment features automatically. [documentation [clay.com [clay.com