P.I.HUNT 5/↔ and ↕, no ⤡

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Spoiler warning: Solution follows

Each of the words from the left hand side can be used to form expressions matching the enumerations provided on the right hand side, that includes an orthogonal direction {UP, DOWN, LEFT or RIGHT}:

LHS Word	RHS expression
0ALL	1THE KIDS ARE ALL RIGHT
1WORK	3WORK UP A SWEAT
2AND	9ON THE UP AND UP
3NO	6NO LEFT TURN
4PLAY	4PLAY DOWN
5MAKES	2MAKES UP
6JACK	8JACK UP
7A	0SYSTEM OF A DOWN
8DULL	5DULL DOWN
9 BOY	7??? <includes RIGHT>

Taking the letters that the connectors pass through, in order of the LHS elements, and Caesar shifting them by the amounts shown on the lower dial corresponding to the direction appearing in the corresponding phrase (+14 for UP, +3 for DOWN, +13 for RIGHT and +1 for LEFT) spells the intended answer NYC BOROUGH.