I wouldn't conflate 'bullshitting' with bullshit. The ability to schmooze is largely about communicating personal emotions and resonating with others in obvious ways. You acknowledge their feelings, regardless of how trivial it is, and now you're connected. But I've seen some people use this in very bad ways. Almost in predatory ways.

However, despite how much I hate being forced to schmooze with someone (say on an impromptu conference call) or be able to talk about nonsensical things in a clever funny way when meeting a new girl or being out in social situations, I resigned myself that what I really hate is being UNPREPARED.

So for me Toastmasters, learning simple comedy routines, exercising, dressing nice, knowing current events and some pop culture, recent sports news; all give me confidence to speak smoothly, conversate well etc etc. I'm more referencing dating and meeting people than office situations but it's all the same thing -- getting people to like and notice you.

So prepare and improve yourself how you can. And if you are okay labeling yourself an introvert then learn to play the guitar and take dance classes. No words needed with those but they will tremendously help your social life.