Filling out DVD+R burning gaps caused by dirt on writing surface

A partially damaged or dirty disc can still be written to.

Thanks to error correction, 100% of the data was readable on newer drives (only at lower rotation speeds), while older drives cease to read that part.

After I cleaned the disc however, there was a small gap in the writing surface dye part, which could not be written to when the dirt was on the write surface.

How can these writing gaps be completed on the DVD writing surface, so that the disc becomes readable on older disc drives with weaker error correction?