That looks kind of deep. But, I think it is impractical changing a whole dashboard. Or even sanding it down and having it sprayed. Dashboard have their own colour and finish and it is the best as is comes from the factory. If you respray it, nobody can guarantee that there won't be paint peeling in the future. Spraying on plastic is tricky and requires good surface prep. Just a little bit of workmanship slip will cause peel. Peel at one place will spread.
What I would do is this to try and polish it away with plastic polish. For sure it won't eliminate, but it can mask some out and make it not too obvious. Try autosol plastic polish. If not satisfied, try some filler products. If still not satisfied, put some small stick on that area. Whatever cute or sporty sticker according to taste.