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ACROSS

 1 Sponsor protects maladjusted cop (9)

 6 Notable France-Lebanon connection (5)

 9 What a child might say in a game after the end of parental restriction (5)

10 Beast is repelled by Cruz covered in plastic (9)

11 Cook follows brave revolutionary word for word (8)

12 Serving as a pig’s clam (6)

14 Womanizer to stop immediately after beginning (4)

15 An orgy of beers and foods? That’s not what life is (3,2,5)

18 Immigrant in East Coast city losing $1,000 to competitor (3,7)

19 Eager to leave with silver coating (4)

22 Support one traveling on water (6)

24 Faceless participant in a democracy captivates part of Capitol—that will tell you how far we’ve come (8)

26 Being a partial explanation of Roman numerals accepted by emcee, oddly (9)

27 Letter found in awesome gallery (5)

28 Teaching assistant is past longing for gossip (5)

29 Deceitful ways ended for a member of the Addams family (9)

DOWN

 1 State underlying friend’s discussion (7)

 2 Newscaster, grave and inexperienced, making a case for agreement (3,6)

 3 Oil company receives Utah payment (6)

 4 Inside, rising grad clocked the speaker with video, sound and text (10)

 5 Lacking feeling in two-thirds of digit (4)

 6 Wins against that Spanish person’s heart (8)

 7 Secure strip of wood outside front of cabin (5)

 8 Predict petrol markets (7)

13 Novel item for carrying bricks with dispatch around battle (7,3)

16 Breathe heavily and take a step to play unfamiliar music (5-4)

17 Generate mixed drink (5,3)

18 Rye runs freely in plant store (7)

20 Meg Ryan’s foreign country (7)

21 Take advantage of translated poems after the first (6)

23 Life ignobly entails sham (5)

25 Refusal in Southwest for Ms. White? (4)

SOLUTION TO PUZZLE NO. 3407

ACROSS 1 pun 9 INGEN(U)E (engine anag.) 10 FA(C)ULTY 11 AU(TORE)PAIR 12 2 defs. 14 O(NSA)LE 15 [a]UN(BOUGH)T 18 anag. 20 anag., 2 defs. 22 M + IKE 23 FAT + ALI + TIES 26 GROUCH + O 27 [m]ONTH + EGO 28 letter bank

DOWN 1 FLIPA (anag.) + COIN 2 N + E + GATES 3 anag. 4 T(I.E.)UP (put rev.) 5 RUF(FIAN)S (surf anag., naif rev.) 6 “Coke” 7 pun 8 hidden 13 anag. 16 THRE[e] + S + HOLD 17 MACA(RO)NI (maniac anag.) 19 UN(K + NOW)N (nun anag.) 21 DR + I’VE + A + T 22 MA(GI)C 24 “allowed” (&lit.) 25 S + CAR