See: https://calderaforms.com/doc/caldera_forms_pro_disable_updater/ and https://calderaforms.com/doc/caldera_forms_pro_log_mode/

caldera_forms_pro_disable_updater.php

<?php
/**
* Disable updates of Caldera Forms Pro from Github.
*/
add_filter( 'caldera_forms_pro_disable_updater', '__return_true' );

caldera_forms_pro_log_mode.php

<?php
/**
* Don't log errors to Caldera Forms Pro
*/
add_filter( 'caldera_forms_pro_log_mode', '__return_false' );