I started reading literature in English and often see sentences where ing-verb is without be. I met a sentence:
Can you tell me why there is no is here? So
I would be happy to help.
I add a full offer: Well, I'm not sure I'm into the whole elitist vibe they've got going on. The mansion...Stark's bodyguard spearheading the thing..."
The "ing" form has other uses: participles and gerunds.
This is a participle phrase, headed by the participle "spearheading" and functioning to modify the noun "bodyguard". As with many participle phrases, it can be rewritten as a relative clause
...Starks bodyguard that is spearheading the thing.
Stark's bodyguard spearheading the thing
This is not a sentence, because it doesn't contain a verb. It's a fragment and a noun phrase. It doesn't stand alone here: it's presented as a sort of afterthought, to illustrate the "elitist vibe" the speaker mentioned. This is fairly common in spoken English. It could be more correctly expressed:
Well, I'm not sure I'm into the whole elitist vibe they've got going on, such as the mansion and stark's bodyguard spearheading the thing.
