Update a funnel's settings, including its path, favicon, domain, and tags, by numeric id or public id with the funnel JSON root. PATCH is also supported. The favicon is writable only on this operation; creation already accepts a path. The target image, domain, and tags must belong to the funnel's workspace. A path edit cannot take an occupied or historical URL or move the root path. Domain changes can continue propagating after this response.

live_mode controls test versus live payment processing; changing it does not publish page content. Use PUT /api/v2/pages/:id or PATCH /api/v2/pages/:id for an intentional live page content replacement and GET /api/v2/pages/:id to read the resource back. There is currently no atomic whole-funnel release or pollable publish receipt.

Boolean true/false and their string forms assign live_mode; null, empty and other values leave it unchanged. Set it to true only when live payment processing is intended.

Use head_code and footer_code to inject custom code. Their modes default to append; use replace for repeatable writes. Null clears code.