They cracked the case. Kids exposed to peanut products during infancy, as early as 4 months old, are less likely to be allergic to peanuts later in life, according to a UK study published in the journal NEJM Evidence. In the headlines on #TheUpdate this Tuesday, New Yorkers who live in the 1 million rent-regulated apartments across the Big Apple can expect a rent hike in the fall following a vote that drew protests — and arrests. Mayor Adams said that the Big Apple is ready for its first heat wave of the year — but reminded city dwellers to prepare for a string of steamy days that could push the heat index up to nearly 100 degrees. And in Washington, President Biden is taking an expansive, election-year step to offer relief to potentially hundreds of thousands of immigrants without legal status in the U.S. — aiming to balance his own aggressive crackdown on the border earlier this month that enraged advocates and many Democratic lawmakers.