Gaming monitors also suitable for work

You don't specify what work is but generally monitors marketed to gamers don't sacrifice anything - the cheaper ones aren't much different to other monitors and the expensive ones do normal stuff and the high refresh rates etc.

So unless your work requires something specific from a monitor there's nothing to worry about beyond any issues an individual model may have.

What does your work involve? I assume it's just reading spreadsheets and emails as if it was anything else you would already have a dedicated work monitor. Unless you need calibration and colour accuracy for your work any monitor marketed as a "gaming monitor" will suffice.
You don't mention what resolution you game at, however based on the £250 budget I will guess 2k, not much to recommend other than look for high refresh rates

I have 2 x LG 32GK850G-B setup for gaming and work, came out in 2020 so probably difficult to find stock of that exact model but think you’d be able to get something similar for 250-300. Does 144Hz and despite what some folk say about 1440p at 32in being soft, it looks fine to me.