Hello horatio1226
Whether to attempt to string up and shoot a damaged bow is a personal choice. The decision is weighted one way or the other depending on your experience and skill combined with your attachment to the bow. Sorry if this answer sounds vague. The bow could string up and shoot fine for years, or it could suffer catastrophic failure at any time. As for having the bow professionally restored. It comes down to cost - vs – value; i.e. the price of professional restoration may not be economically viable if you intend to resell or trade the bow at a later time, however, if this bow is the "one" or a must have addition to your collection then cost is irrelevant.
With that said. If it were me: If I decided the bow was valuable enough to me I’d complete the restoration, or have it restored before I would attempt to shoot it.