NEW YORK — Mayor Eric Adams’ administration sued the owners of five major social media platforms Wednesday with an aim to hold them “financially responsible” for the city’s youth mental health crisis, joining a wave of similar legal actions brought by jurisdictions across the country. The lawsuit, filed in California Superior Court, alleges the owners of TikTok, Facebook, YouTube, Instagram and Snapchat “knew or should have known” that their platforms would harm the mental health and well-being of children and teens. Specifically, the suit charges the platforms’ “dangerous and addictive” algor…