It appears to me that the DPF warning light does not stay lit (which is normal) in your video, which would seem to suggest that the fault does not lie with the DPF itself.

Replacement of the DPF would be the worst case scenario in terms of cost, so it may better to eliminate other possibilities before committing to a new DPF.

Verify that the correct engine oil (product must comply with VW 504.00/507.00 standards) has been used during the vehicle's life. The use of a full-SAPS (conventional) lubricant may shorten the service life of the DPF.

Check that the brake lights are working correctly. It could be as simple as a faulty brake light switch, but it was more of an issue on previous models.

Failing that, the fault may lie with a faulty sensor/s, such as the exhaust gas temperature or pressure sensors.

Further reading: 1.6TDi 105 -warning light control system for exhaust & flashing glowplug light - Skoda Fabia II - BRISKODA.net - The Skoda Forum and Community (a Google search will bring up similar hits).

On the other hand, if you can manage to get Volkswagen to provide a goodwill repair or replacement of the DPF, then that too would be a good outcome, so it might be better to see what Volkswagen have to say first.