Can I book groups on SATA involving flights on TAP or other airlines (WestJet / Alaska Airlines / Air France / Binter)?

Yes. However, the offered price for the flight operated by another airline is a base price. When an airline evaluates a group, it may offer a higher value. This will only be confirmed by the respective airline after the booking has been made. If there is already a confirmed group booking on SATA flights, and it is intended to change to a flight not operated by SATA, it implies that after accepting a new price, the confirmed SATA flight is automatically canceled and the flight operated by the other airline is awaiting confirmation by the new operating airline.