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ACROSS

 1 Crazy proposal for travel (10)

 6 Assistant reversing digital divide? (4)

10 Business associate sending back money for housing strike (7)

11 Yale student invested in plastic dyes—they keep out the light (7)

12 You sat awkwardly with a poet (5)

13 Where some children learn arrangement of crop holes (9)

14 Think about a swindle, with employee behind schedule (11)

17 and 18 across Miscellaneous source of heat, without liquid (6)

18 See 17 across

19 Where you could get milk or grain, in the past, with raw material (6,5)

21 In the far south, tactic ran off the rails (9)

24 Wood from a plank, turned over (5)

25 Terribly bored, sanction magazine (7)

26 Water shortage is severe within the boundaries of Detroit (7)

27 Dressing from April 30? (4)

28 It might keep you from suffering a retreat before a male jerk (10)

DOWN

 1 Pretend to sing along with South Korean rapper in Long Island and North Carolina (3-4)

 2 Surprisingly tiny trace leads to conviction (9)

 3 Lists to choose from when a planet’s face is magnified by a factor of 200 (5)

 4 Academic exercise for Rev. Spooner: style hair with a candle (4,5)

 5 Robes evidently concealing fat (5)

 7 Judge came down against the essence of Roe (5)

 8 The smallest quantity of soda, unopened, overcoming endless thirst (7)

 9 Brutally scare the faculty (8)

15 Load in established staple of the slow-food movement? (8)

16 Three-digit sequences are not DC poems (4,5)

17 Herb interrupts insult to get attention (9)

18 Site of the Taj Mahal seen in poorly illuminated illustration (7)

20 Shred laciest part of some underwear (7)

22 Diminutive cover for the state’s lawyer, at present (5)

23 Naked star (a well-known doll) is not available (5)

24 Stall an assassin (5)

SOLUTION TO PUZZLE NO. 3359
 

ACROSS 1 2 defs. 4 VI + DEOT (rev.) + APE 9 hidden 10 CHO(M)P 11 [f]EELS 12 “cone and oil” 14 pun 15 KNIF (rev.) + [d]ES[k] 18 B(L)EACH 19 BUD + A PEST 22 anag. 24 hidden 26 “Thai grrr” 27 QUID + DITCH 28 H + OPEC + HE’S + T 29 rev.

DOWN 1 [s]HO[t] + THÉ + AD 2 anag. 3 SO FA[r] 4 [o]VER + MOUTH 5 phonetic hidden 6 [a/O]-CCIDENTAL 7 AGO + NY 8 EM (rev.) + PRESS 13 EGOCEN(T)RIC (concierge anag.) 16 F(RE)IGHTER 17 hidden 18 BEW (rev.) + ITCH 20 TO(Y)SHOP (photos anag.) 21 OPA[l] + QUE 23 rev. 25 A + D.D.S.