Sydney Sweeney is everywhere right now. There she is, near-naked on a billboard in Times Square, strategically covered by footballs and basketballs in a provocative campaign for sports prediction market Novig that has infuriated female athletes. And there she is again, stripping down to promote the latest collection from her own lingerie company, SYRN — aptly entitled “Birthday Boobs” — which was timed to coincide with her 29th birthday on Sept. 12. The “Anyone But You” star also found time to turn heads in a sheer gown in Venice for Armani Beauty on Sept. 1. But amid this relentless, hyper-sexualized exposure — and after leaving her…