Hi,
If you want to check the table existed, please refer to this topic https://wordpress.stackexchange.com/questions/11641/checking-if-database-table-exists
This extension helps you to save the post meta to the custom table, so you can hook to some actions that support using the post ID to pass to the API like save_post
https://developer.wordpress.org/reference/hooks/save_post/
For example:
add_action( 'save_post', 'my_function', 10,3 );
function my_function( $post_id, $post, $update ) {
$data = [
'field_1' => 'value 1',
'field_2' => 'value 2',
'field 3' => ['one', 'two', 'three'],
];
\MetaBox\CustomTable\API::add( $post_id, 'table_name', $data );
}