What is the ruling on working for a contracting company whose owner is likely to pay bribes to win contracts, knowing that the nature of my work is permissible and I will perform it to the fullest, and I have no involvement in the details of the contracts?

There is no objection to working for the company if the work is permissible and not connected to bribery or assisting in it. One should advise the person who offered a bribe or committed a deception to repent, for bribery is one of the grave sins. The Prophet, peace and blessings be upon him, cursed the briber, the bribed, and the intermediary. It is forbidden to demand a bribe, accept it, offer it, or act as an intermediary in it.