Whether you should bring your Gucci belt buckle to the store for repair or not depends on your personal preference and the extent to which the dents and scratches bother you.
If the imperfections are minor and do not affect the functionality or overall appearance of the belt buckle significantly, you might choose to continue using it as is. Over time, small scratches and dents can add character to leather goods, giving them a worn-in, vintage look.
However, if the dents and scratches bother you and you prefer to have your Gucci belt buckle looking pristine, you can consider bringing it to the store for repair or reaching out to their customer service for guidance. They may be able to provide you with options for repair or replacement if the damage is covered under any warranty or guarantee.
Keep in mind that luxury brands like Gucci often have customer service centers or authorized repair centers that can assess the damage and provide you with a professional opinion on whether repair is possible and what the associated costs might be.
Ultimately, the decision is up to you and what you feel most comfortable with. If the minor imperfections do not bother you, there's no urgent need for repair, and you can continue to use the belt as usual. But if you value having it restored to its original condition, contacting the store or customer service would be a suitable next step.