Is your question how you can set the options in an options field via GraphQL API?

An example query/mutation could look like this:

mutation {
    updatePhaseField(input: {
id: the_field_id,
label: "The field Label",
...
options:  
"Option 1", "Option 2", ...
]
}) {
        clientMutationId
    }
}

Note that there are a few placeholders you will have to replace for your specific case.

See also the documentation for this mutation.

yep!

I have an exiting pip, where do i declare its id?

Where you can declare the id of the pipe in this `updatePhaseField` mutation? The following post answers exactly that, better than I could:

https://community.pipefy.com/api-76/update-phasefield-using-graphql-api-how-do-i-specify-a-phase-989