LuLu is a billion dollar hypermarket chain. I think it would be a good idea to rename this project in the beginning if you don't want to get into any copyright issues.
Many countries have a “well-known trademark” doctrine where a mark can be so famous that any business using it could be a source of consumer confusion. For example, if you see that Coca-Cola has released a firewall, you might well think it has some connection to Coca-Cola, even if you know they are not currently in the software business. Lulu supermarket may not be well known enough to enjoy that kind of protection.
Sometimes they can be the same business in different markets and use the same trademark.
Think about how many cities have "Great Wall" Chinese restaurants.
Most people only know trademarks at a national level. In the United States, at least, each state can grant its own trademarks. I've done it in Illinois ($50/10 years), and Texas ($10/10 years).
German hypermarket 'Metro' sued Microsoft over naming because they registered their name for just about any business sector , including computers and data processing. https://arstechnica.com/information-technology/2012/08/micro... They sued others, including public transport companies, and a disco place before. I believe LuLu is fine though, it's Metro AG who are far overreacting.
https://en.wikipedia.org/wiki/Lulu_Hypermarket