How can I return only IDs from the `posts` REST endpoint?

Question

I have the following code:

const FORMS = document.querySelectorAll(".search-form");

FORMS.forEach((form) => {
    const INPUT  = form.querySelector(".search-form__input");
    const BUTTON = form.querySelector(".search-form__button");

    BUTTON.addEventListener("click", (e) => {
        e.preventDefault();

        wp.apiRequest({
            path: "wp/v2/posts",
            data: {
                search: INPUT.value,
            },
        }).then(data => {
            console.log(data);
        });

    }, { passive: false });
});

WP_Query allows you to specify "fields" => "ids" to return only the post IDs. I only need the IDs from this request, so in order to cut down on database queries, I'd like to apply this same setting to the request. Is there a way to specify this in the REST API? I've tried setting fields: "ids", in the data property, but that doesn't have any effect.