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The “Bear” star, 32, held the brunette beauty, 30, by the hips while she caressed his face with her hands.
For the carefree outing, which involved grabbing a bite to eat, the actor paired a patterned short-sleeved button-down shirt with light-wash jeans, white sneakers and a tan baseball cap.
Moore, for her part, opted for a cropped gray hoodie, black leggings and white tennis shoes.
The duo looked head over heels as they smiled, laughed and engaged in expressive conversations while getting lost in each other’s eyes.
Their reps did not immediately respond to Page Six’s requests for comment.
The PDA-packed apparent date comes a little over a week after White was seen sharing a few intimate moments with his estranged wife, Addison Timlin.
Last Thursday, the Emmy winner and the “Californication” actress — who share 4-year-old Ezer and 2-year-old Dolores — were snapped hugging, touching and chatting while attending their eldest daughter’s soccer game together.
Timlin, also 32, had her arms wrapped around White as he gave her numerous smooches on the cheek and head.
The “Fallen” star filed for divorce from the “Shameless” alum in May after three and a half years of marriage; however, her reasoning remains unclear.
At the time, insiders told Page Six that White definitely did not cheat and suggested his demanding filming schedule in Chicago had put pressure on their relationship.
Days later, Timlin referred to herself as a “single mom” in a Mother’s Day Instagram post, which sources told us “blindsided” White.
She later edited her caption to include “co-parent.”
