Hi @COEFFORT ,
Flow doesn’t yet offer a trigger for a generic Variant Changed event, but assuming one is available from a Partner app’s connector or you can use something like the Product Variant Added trigger, the actions to make those changes are available.
It should be possible to change the shipping profile using the Send Admin API Request action that was launched today at Summer Editions. You’ll need to use the deliveryProfileUpdate mutation to change the list of products in the specified shipping profile. Keep in mind, this allows for updating the whole profile. You’ll want to focus on the variantsToAssociate and variantsToDissociate fields.
Hope that helps!