Pirate a copy of AnyDVD and run it. Then insert your DVD. It will patch your files on-the-fly and remove the copy protections.
What protection? Protection on burned DVDs is very rare. (CPRM ← rarely used, ProtectBURN Video ← Proprietary rubbish)
Illegal copies of AnyDVD don't (really) work. A cracked version might seem to work and might even be usable for ordinary CSS DVDs (which can be handled by various freeware). For specialized protections and/or BDs (or even UHD BDs) this doesn't work.
Crucial disc specific information for disarming certain protections are delivered on the fly after a server side check for valid license. Good luck with cracked copies.
(which was ~ 5 seconds long).
That is a good result and surprisingly little damage.
DVDisaster would have prevented data loss entirely.
A specialized dumper for protected discs (unrelated to video → PC game protections) should be able to handle such cases. CloneCD (can do DVDs as well when not CSS/CPRM encrypted) or Alcohol 120% have functions to skip 100 or 500 sectors when encountering a few consecutive bad sectors. Usually this is to reduce dumping time of ring protections (Pro Ring, Ring Protech, LaserLock…)
But the function can be used for damaged video discs like (S)VCD and DVD relatively quickly.
It would be some manual work to extract the video from an image file omitting the corrupted part… but there might be programs designed for this.
Anyway: Good to know you found a solution.