Plot twist: the glass is just crushed and dumped, very little actually gets recycled. Everyone uses different glass for their bottles and you can’t easily separate it once it’s mixed (either as whole bottles, shards of broken bottles, or molten glass).
Unlike plastics, recycling glass does seem to be viable. Even mixed glass can be recycled into other products if it isn't good enough for new bottles. This industry site says that glass recycling in Europe is at 74% https://feve.org/recyclingstats2018/