Should I remove this 'weed' or will Winter kill it off? (Pics included)

[Meltimi]

This weed has over the last month or so invaded my garden. Although it has no flowers it looks like a plant with purple flowers that I've previously accepted into my garden in small quantities, and this invasion certainly didn’t happen last year.

Should I remove it all now or will it naturally be killed off in the cold weather?

It might die off in a harsh winter but it will be back in the spring so I'd get rid of as much of it as possible and then put down a suppressant like bark.

That grows so prolifically! The good thing is, it lifts out the ground so easily, roots and all. I’d pull it up if I were you. It will literally take over.

I am on my phone but it looks like Herb Robert. Does it smell of cats wee?

Either way it is unlikely to not be back even if it ges frosted. Hoe it down and hoe it every time you see it. If you let one set seed it will be there forever.

It’s herb robert and it flowers year round. No the frost won’t kill it. Easy to pull out if you want rid of

I'd better get weeding......