I think it's worth it, but with one condition: wait until you've got the brush basics down solid. It's not that airbrushes are only for experienced people, but if you're still struggling with even coats using a brush, an airbrush won't automatically fix that. Actually, it can be frustrating at first because it requires learning completely different techniques, adjusting pressure, distance, paint thinning. It's like starting from scratch in some ways, so it's not a "magic shortcut" to improve.
That said, after like a year or so with regular brushes, an airbrush opens up a ton of possibilities you just can't do with a brush. Gradients, even base coats, dust and rust effects come out natural. If you watch videos of well-painted miniatures, they probably used an airbrush on at least part of the process. Between $80 and $200 is a range that covers everything from basic Chinese brands to decent stuff, so it's not an impossible expense.
My recommendation: keep practicing with a brush for a few more months, learn how paint behaves, how to do layers and control the flow. When you feel like you've got that down and the brush is actually limiting you (not before), then invest in a decent mid-range airbrush. Plus it'll make more sense because you'll already know what to expect and how to get the most out of it.