It probably wouldn't, because it would be clear that it's got nothing to do with Valve the gaming software company. Trademarks aren't blanket coverage of any possible uses of a name.

Not really, there are rigid categorisation of trademarks (Nice Classification). All software is in Class 42 (https://www.wipo.int/classifications/nice/nclpub/en/fr/?basi...) so Valve would actually have standing here.

PS: Nice here refers to the French town (compare to Berne Convention, Geneva Convention, Treaty of Paris), not the common meaning in English.

Thanks for pointing that out

Nice