Is it a bloke working from home in a flat in a purpose built block of flats? if so it is semantics and only the man/woman wearing a curly wig will decide if it is a workplace or a flat.
If not and its a flat converted into an office..................
Have you looked at the current benchmark guidance for flats in mixed use buildings? Fire safety in Purpose Built Residential Flats, page 106.
It may not be as simple as it looks; the workplace should be lobby protected from the remaining flats, now this maybe be easy if the flat has a protected flat entrance hall, however the doors may only be 20 minute doors and the self-closing devices may have been removed under current guidance, but that is not a big problem to fit 30 minute doors with self-closing devices or lobby protect the front entrance door to the workplace(but then again I have not seen the layout).
Now for the hard bit; technically the flat now a workplace should be provided with a fire detection and alarm system which should then extend in to all flats to provide a full evacuation. The fire alarm system is not for means of escape of the workplace but for early warning for the flat residents for the perceived higher risk imposed by a workplace opening on to residential flats.
Now back to reality is that all going to happen? very doubtful, the landlord or lease hold flat owners will not want a fire detection and alarm system, more likely they will try and get rid of the workplace first by asking nicely, stating it is a breach of tenancy or by use of the housing act or RRFSO.
Well that my ten penny worth in old currency, hope it is of help.