If my character is observant enough to notice the bolded (otherwise why are you narrating it) shouldn't I get a chance for my character to react to that observation - duck behind a table, or flee out the back, or wave hello and smile cutely - before they clomp over to me?
This is an example of something that seems prevalent in this style of play, going by various play reports and examples I've seen, and it bugs me to no end: a lack of granularity - or, dare I say, very small-scale railroading - that denies me-as-player the agency to have my character (try to) do what it would do.
Now maybe the fact that an entanglement was rolled (as opposed to a threat) means the narration here is in error and my character shouldn't have noticed the bluecoats until they got to me and started speaking, by which time it's too late to react to their presence across the room. But I can only work with what's given, which here implies I saw them coming and had more than enough time to react.