I likewise am experiencing this problem. My Skoda Octavia 2024 1.5 TSI (manual gearbox) cuts out between gears at low rev. The car was bought new in 2026, but was pre-registered at the dealership at delivery in 2024. I am the first owner to use it and the problem has persisted from new. I have reported it to Skoda customer service as a manufacturing fault that represents a safety issue, requesting a reference number from them. I will then report it to the DVSA. Google Gemini tells me that registering the issue with the DVSA will not appear in any records for the vehicle (i.e. it won't dissuade any subsequent purchaser). For better or worse, this at least means those suffering from this safety defect should not feel wary of registering it. If an actual recall is triggered, then it shows against all vehicles of that make and model until the individual vehicle is brought to the garage in response to the recall, at which point the recall alert is wiped from the vehicle's record.