What MASK for a bike in winter?

I need to buy a mask for running / cycling in the frost

up to 200 PLN
Preferably with a filter to be mounted

I was thinking about some ColdAvenger for $45 but they don't sell it in Poland

https://www.youtube.com/watch?v=vdWj9fqU3Cw

After this video, I see that the only thing that really works here is that silicone cup
I have such a mask without a cup, indeed - it helps, but still in the frost, the cold hits the lungs.

So I think, if I already have a mask, maybe a more decent one, one with filters,
there are plenty of such masks, but is there any that is suitable for effort on a bike, for example, can you use it?

https://icd.pl/polmaska-honeywell-north-n7700-n65770032.html?gad_source=1

because there is often smog on the roads in winter from burning in fireplaces, so without a filter on a bike, it’s sometimes impossible.

(and all those flat masks like Respro Ce seem to give too much resistance to breathing and the filters are probably too weak.)

Anyone? what mask for cycling with a filter for winter?