Programmatically setting Woocommerce product price

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Ok! This is my solution, and (so far) it works:

function return_custom_price($price, $product) {

    $myPrice = 15;

    global $current_user;
    $price = $myPrice;
    $post_id = $post->ID;
    return $price;
}
add_filter('woocommerce_get_price', 'return_custom_price', 10, 2);

It does target every single product in the store, but as the site only has one product, this works fine.