Blake Lively and Justin Baldoni made the shocking decision to settle their lengthy court battle Monday in what we’re told was a “last-minute deal.” A source told Page Six that the “It Ends With Us” co-stars had been negotiating for a few weeks and were encouraged to make a settlement. “They finally came to an agreement today. It was a last-minute deal,” the insider shared with us just moments after the settlement was reached. “The magistrate and the judge wanted to avoid this going to trial as it was going to be a long, drawn-out case, so they were encouraged to reach an agreement.” An insider told Page Six that Blake Lively (pictured above in February) and Justin Baldoni settling their lengthy court battle Monday was a “last-minute deal” by both parties. John Angelillo/UPI / Shutterstock The source added that the magistrate and the judge encouraged Lively and Baldoni (pictured above in February) to make a settlement. Gregory P. Mango for NY Post According to New York litigation attorney  Richard C.…