Mr. Rogers, it’s a beautiful day in the neighborhood indeed, especially when weekdays include food and drink specials during Neighborhood Hour at The Nook on Piedmont Park. This yummy “hour” sprawls from 4-7 p.m. Monday-Friday. Having won a wealth of awards ranging from “Best Contemporary Burger” and “Best Tots” to “Best Bloody Mary” and “Best Patio,” the Midtown oasis is ready to add “Best Place to Spend a Weekday Afternoon” to its wall of fame. Count on special pours of $3 drafts (12-ounce, all beers), $3 house wine and $3 well cocktails. Because sips deserve real snacks, the kitchen is serving special $5 appetizers during Neighborhood Hour. These treats, which change every Tuesday and aren’t on the regular menu, tempt with the likes of shrimp bruschetta, Mediterranean hummus-stuffed avocados, chicken and spinach Alfredo, chicken Parmesan cutlets and more.