When we went into NYC with our then-young kids, we reminded them of the "NYC walk." To wit, a steady brisk pace, look ahead at people you are nearing, and don't answer anyone who says "Excuse me,......." other than saying "no thank you" while not breaking stride. OP that should be your strategy. From your description of the path you walk, you can easily spot the beggars ahead of time, so this should not be an issue. As others have written, if it were me I'd still look for a different walking route.
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