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ACROSS

 1 and 3 downDaughter is the arrival of a new generation (8,2,3,5)

 8 Flexible, unstable relatives (9)

 9 Lay to rest in virgin territory (5)

11 Insignificant person’s overdose in bony mess (6)

12 Originally, aunt goes wrong collecting hot receptacles (8)

14 They are used for cutting Osric’s letters, with some repetition (8)

16 Tilts and rolls (5)

18 Nephew’s start in region’s stadium (5)

20 West Asian son finally following a confused Marine (8)

23 Father with a clue, surprisingly, for the masses (8)

24 Stranger bore my future child? (6)

27 Mysterious Omani woman (5)

28 Cousin shuffling and reusing elements to make them harmless (9)

29 Ill-judged bet lost mother an airtight container (7,6)

DOWN

 1 Cold microwaves for some Sabbath gatherings (6)

 2 Care terribly about band requiring oxygen (7)

 3 See 1 across

 4 Innocent niece always irritates friend at first (4)

 5 Unrestricted view providing context for uncle’s magic words (4,6)

 6 Rudely halt intro for sporting event (9)

 7 Captures parents in a tizzy (7)

10 Refuse to give in to obnoxious sister (6)

13 Royal principles operating within a rule about calendar abbreviation? (9)

15 Minor sibling’s heading shopping expedition? (5-4)

17 In China, a foreign businessman damaged patina (6)

19 In pursuit of former spouse, I plot insane adventure (7)

21 DeGaulle or Kennedy showing a bit of interest in exotic parrot (7)

22 Computer accessory full of sulfur gel (6)

25 Manly physicist associated with speed and tempo, ultimately (5)

26 Windfall arriving late is a burden (4)

SOLUTION TO PUZZLE NO. 3277

ACROSS 1 2 defs. 9 O + RATE 
10 anag. 11 H + AIRLINE 12 C([t] AR[t])HOP 14 TO KEN 16 BOO + BOIS(I)E 17 SO A + POP + ERA 
19 hidden 22 AU + THOR 23 BAC[k] + CARAT 26 KNO(WITA)LL (wait anag.) 27 OP-I/TIM-UM 28 TIMO (rev.) + NO FAT HENS

DOWN 1 “profit” 2 anag. 3 I DEAL 
4 GROUND + BEE + F 5 “air” 
6 BAN + GALORE 7 RE-ACHES 
8 anag. 13 RO(MANACLE)F (for rev.) 15 hidden 17 SPAN + KY 
18 hidden 20 TER + MITE (tre[e] anag., &lit.) 21 anag. 24 C + LOUT 
25 [s]PAIN