Ceiling spots

Everyone hates ceiling spots and they stick out like a sore thumb when having guests over or at a showing presentation. I’ve checked a lot of resources and spoke to some experts. Most people agree on a few things. Some spray cans can cover the leak on the inside if the leak starts on the roof into the attic and onto the ceiling. Be aware that the leak started on the roof so if you have shingles the spot where the leak exists may need to be replaced. It might e a good idea also to replace the insulation on top of the ceiling that got wet. Now we move onto the ceiling most people recommend a primer with Kilz and then repainting the surface with the stain. I’ve heard mixed results about the application of Kilz so you may want to speak to an expert. When you apply the paint in some instances you might have to repaint the whole ceiling so the color matches. Some people have tried darkening the paint with tea for example in order to get the worn color the paint takes on after a few years. Any better ideas post them here or leave feedback. What do you think is the best way to fix the ceiling spots?