"New York Times" or "The New York Times"?

When grabbing articles using Zotero connectors, the publication field of these sites are as follows
- nytimes: "The New York Times"
- newyorker: "The New Yorker"
- wsj: "Wall Street Journal"
- washingtonpost: "Washington Post"
- BBC.com: "BBC News"

Should I keep "The" here or no? What's the best practice for Zotero? Thank you!
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