Lense Glass Scratches

Evening Gentlemen,

I’ve been meaning to post this a while, however the subject has probably been covered before - I dunno?

Can scratches be polished out by a professional? I know glass is tough as hell and I’ve tried to do before with Jewelers Rouge. To no effect, despite my efforts.

The scratches are minor, but enough to see.

This is on my Seiko. It’s only a couple of years old, I probably shouldn’t wear it as my ‘Day Watch’ - but I like it a lot - and do.

Would it perhaps be better to engage with a reputable jeweller to get the lense replaced with a new one?

Any ideas what something like that would cost?