[Waiting for user confirmation] Displaying translated fields in a Ninja table using WPML's icl_object_id function?

Background of the issue:
I created a custom post type and associated custom fields to it using ACF. All these custom fields are translated using WPML. I then created a Ninja Table based on the custom post type to display the title of the post from that post type as well as a few custom fields (including two multiple choices ones). It works great in the main language (French), but not in English. In the English table, it links to the correct English post, but the custom field values appear in French. I added code in my theme's function.php to get translated ACF fields using WPML's icl_object_id function and created shortcodes for the fields. This is the code I used:

// Function to get translated ACF fields using WPML
function get_translated_acf_fields($post_id, $language_code = null) {
if (!$language_code) {
$language_code = apply_filters('wpml_current_language', null); // Get the current language
}

// Get the translated post ID using WPML's icl_object_id function
$translated_post_id = apply_filters('wpml_object_id', $post_id, 'communautaire', false, $language_code);

if (!$translated_post_id) {
return null; // Return null if no translation exists
}

// Retrieve the ACF fields for the translated post
$fields = array(
'ville' => get_field('ville', $translated_post_id),
'publics' => get_field('publics', $translated_post_id),
'programmes' => get_field('programmes', $translated_post_id)
);

return $fields;
}

// Shortcode for Ville field
function display_ville_field($atts) {
// Get the current post ID and language
$atts = shortcode_atts(
array(
'post_id' => get_the_ID(),
'language' => apply_filters('wpml_current_language', null)
),
$atts,
'ville_field'
);

// Get translated fields
$fields = get_translated_acf_fields($atts['post_id'], $atts['language']);

return esc_html($fields['ville']);
}
add_shortcode('ville_field', 'display_ville_field');

// Shortcode for Publics field
function display_publics_field($atts) {
$atts = shortcode_atts(
array(
'post_id' => get_the_ID(),
'language' => apply_filters('wpml_current_language', null)
),
$atts,
'publics_field'
);

$fields = get_translated_acf_fields($atts['post_id'], $atts['language']);

return esc_html(implode(', ', (array)$fields['publics']));
}
add_shortcode('publics_field', 'display_publics_field');

// Shortcode for Programmes field
function display_programmes_field($atts) {
$atts = shortcode_atts(
array(
'post_id' => get_the_ID(),
'language' => apply_filters('wpml_current_language', null)
),
$atts,
'programmes_field'
);

$fields = get_translated_acf_fields($atts['post_id'], $atts['language']);

return esc_html(implode(', ', (array)$fields['programmes']));
}
add_shortcode('programmes_field', 'display_programmes_field');

I then added the shortcodes in the table: [ville_field post_id="{post_id}" language="en"], [publics_field post_id="{post_id}" language="en"], etc. But nothing appears in those columns. Ninja Table does allow shortcodes and I tested a simple shortcode to see if it would display and it did.

Symptoms:
In the English table, the custom field values appear in French, and the shortcodes added in the table do not display any content.

Questions:
Am I using WPML's icl_object_id function correctly?
Is there a simpler workaround to retrieve and display data translated by WPML?