Theme Kit - Customised site not syncing locally

I’ve just installed theme kit for working on a development site.

If I add a new section to my home page via the admin editor:
https://charliethevet.myshopify.com/admin/themes/… (etc)

If I save, I can view the change (new section appears) here:
https://charliethevet.myshopify.com/?_bt=eyJfcmFpbH…. (etc)

But the new section is not appearing on my local version (running via ‘shopify theme serve’ CLI command locally)
http://127.0.0.1:9292/

Am I missing a step to sync the live to local?

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