Do we really know what this word (αποτασσω) entails?
Would waving good-bye be reasonable for ἀποτάξασθαι?
ἀποτάσσω. (waving hand good-bye, then turning around to leave)
(picking a victim) οὐκ ἐπιτρέπω σοι ἀποτάσσεις!
Make sure to use the middle for this word in a departing context.
Are you saying you would prefer:
οὐκ ἐπιτρέπω σοι ἀποτάξασθαι;
If so, I agree. It's closer to the text:
BDAG is a little unclear active vs middle
① to express a formal farewell, say farewell (to), take leave (of) τινί (Vi. Aesopi G 124 P.; POxy 298, 31 [I A.D.]; BGU 884 II, 12 [II/III A.D.]; Jos., Ant. 8, 354; s. Nageli 39; in pap most freq. in sense of bidding farewell, s. Wilcken on PBrem 16, 12; so also Jos., Ant. 11, 345; opp. POxy 1669, 4) τοῖς ἀδελφοῖς Ac 18:18. αὐτοῖς 2 Cor 2:13. τοῖς εἰς τ. οἶκόν μου to my people at home Lk 9:61; cp. Mk 6:46. (Opp. ἀκολουθεῖν τινι.) τ. ἀγγέλῳ τ. πονηρίας say farewell to the angel of wickedness Hm 6, 2, 9. τῷ βίῳ to life IPhld 11:1 (cp. Cat. Cod. Astr. VIII/3 p. 136, 17). Abs. Ac 18:21; 21:15 D.
Arndt, W., Danker, F. W., & Bauer, W. (2000). A Greek-English lexicon of the New Testament and other early Christian literature (3rd ed., p. 123). Chicago: University of Chicago Press.
LSJ is clearer:
ἀποτάσσω, Att. -ττω, set apart, assign specially, χώραν τινί Pl.Tht.153e; detach soldiers, Plb.6.35.3, etc......
IV. Med, ἀποτάσσομαί τινι bid adieu to a person, part from them, Ev.Luc.9.61, Act.Ap.18.21, Ev.Marc.6.46, J.AJ11.8.6, BGU884 ii 14 (ii/iii A.D.), Aesop.64, Lib.Decl.45.28; have done with, get rid of a person, POxy.298.31 (i A.D.); ἀ. τῷ βίῳ commit suicide, Cat.Cod.Astr.8(3).136.17: also c. dat. rei, renounce, give up, τοῖς ἑαυτοῦ ὑπάρχουσιν Ev.Luc.14.33; τροφῇ J.AJ11.6.8; ταῖς μίξεσι, of the Vestals, Sor.1.32; πάθεσι Ph.1.116, cf. Iamb.VP3.13, Phryn.15.
Liddell, H. G., Scott, R., Jones, H. S., & McKenzie, R. (1996). A Greek-English lexicon (p. 222). Oxford: Clarendon Press.
The hard part about developing curriculum, is that you will often find you have been using the wrong form for a while. This has happened to me many times. In such cases, just say, "this form is better." No need to beat up on yourself for honest mistakes.