When a relief pitcher requests extra throws to warm up due to chilly weather, what should the plate umpire do?

The plate umpire should grant the relief pitcher's request for extra throws to warm up, especially in chilly weather. It is essential for pitchers to be adequately warmed up before they take the mound to ensure their health and performance. Cold weather can affect a pitcher's muscles and pitching mechanics, potentially leading to injury if they are not properly prepared. Allowing the pitcher additional warm-up throws is within the umpire's authority and should be done to ensure the safety of players and the integrity of the game. Warm-up routines help pitchers find their rhythm and control before facing live batters, which is critical for the flow of the game and the well-being of the athletes involved.