"They seem to have a great time together," a source said of Affleck and de Armas. "They order delivery food and groceries and only leave the house for walks around the neighborhood with their dogs. Ben looks incredibly happy. They are flirty and goofy. Ana always has a huge smile around him."

A source previously told PEOPLE the duo had an "instant connection" while filming their upcoming thriller Deep Water this past winter.

"They had great chemistry right from the start," the source said of Affleck and de Armas. "Ben always seemed very relaxed and happy around Ana, but at the time there were no signs of romance. He was very focused on making a fantastic movie."

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