In either case we CANNOT save ourselves. There is no salvation in works of any kind. Works are the fruit of our salvation working itself out. And only the works that are initiated by God. (we are a conduit) Our self-initiated works (religious works) are the wood, hay and stubble that burn up when we all (all people) reach our final judgment/correction.
It's clear you're ignoring me for whatever your reasons, but here you are and for anyone else who cares to read. You're misstating what the Text says:
NKJ Philippians 2:12-13 Therefore, my beloved, as you have always obeyed, not as in my presence only, but now much more in my absence,
work out (katergazomai) your own salvation with fear and trembling; 13 for it is God who works in you both to will and to do for His good pleasure.
The command is to us to "work to accomplish our own salvation," not for "our
salvation working itself out." I'm looking at 9 English translations plus my own and all interpret this verb as saying
we do the action (in collaboration with God "energizing" in us) and this action has results that have effects on us.
Your choice of definitions, or bring in some legitimate ones from elsewhere, or prove from the Text what the definition is, but FWIW:
[BDAG] κατεργάζομαι (
katergazomai)
• κατεργάζομαι mid. dep., Att. fut. 2 sg. κατεργᾷ Dt 28:39; 1 aor. κατειργασάμην; perf. κατείργασμαι. Pass.: fut. 2 pl. κατεργασθήσεσθε Ezk 36:9; aor. κατειργάσθην (on κατηργασάμην and κατηργάσθην s. B-D-F §67, 3; W-S. §12, 1; Mlt-H. 189) (Soph., Hdt.+).
1.
to bring about a result by doing someth., achieve, accomplish, do τὶ someth. (Hdt. 5, 24 πρήγματα μεγάλα; X., Mem. 3, 5, 11; Jos., Vi. 289) Ro 7:15, 17f, 20; 1 Cor 5:3; 1 Cl 32:3f. τὴν ἀσχημοσύνην κατεργαζόμενοι committing shameless acts Ro 1:27. τὸ κακόν do what is wrong 2:9; 13:10 v.l. τὸ βούλημα τῶν ἐθνῶν do what the gentiles (i.e. polytheists) like to do 1 Pt 4:3. δικαιοσύνην θεοῦ does what is right in the sight of God or (s. ἐργάζεσθαι 2c) achieves the uprightness that counts before God Js 1:20 v.l. ἅπαντα κατεργασάμενοι after you have done or accomplished everything (in this case the reference would be to the individual pieces of armor mentioned in what follows, which the reader is to employ as is prescribed; but s. 4 below) Eph 6:13. ὧν οὐ κατειργάσατο Χριστὸς δι᾽ ἐμοῦ of anything except what Christ has accomplished through me Ro 15:18. Pass. τὰ σημεῖα τοῦ ἀποστόλου κατειργάσθη ἐν ὑμῖν the signs by which an apostle demonstrates his authority have been done among you 2 Cor 12:12.
2.
to cause a state or condition, bring about, produce, create (Hdt. 7, 102 ἀρετὴ ἀπὸ σοφίης κατεργασμένη; Philo, Plant. 50; TestJos 10:1) τὶ someth. νόμος ὀργήν Ro 4:15. θλῖψις ὑπομονήν 5:3 (TestJos 10:1 πόσα κατεργάζεται ἡ ὑπομονή); cp. Js 1:3. λύπη μετάνοιαν 2 Cor 7:10a v.l. (for ἐργάζεται). λύπη θάνατον vs. 10b; cp. vs. 11 (where a dat. of advantage is added). φθόνος ἀδελφοκτονίαν 1 Cl 4:7. μνησικακία θάνατον Hv 2, 3, 1. ἡ ἁμαρτία κ. ἐν ἐμοὶ πᾶσαν ἐπιθυμίαν sin called forth every desire within me Ro 7:8. τινί τι bring about someth. for someone (Eur., Her. 1046 πόλει σωτηρίαν) μοι θάνατον 7:13. αἰώνιον βάρος δόξης ἡμῖν 2 Cor 4:17. εὐχαριστίαν τῷ θεῷ bring about thankfulness to God 9:11; θάνατον ἑαυτῷ κ. bring death upon oneself Hm 4, 1, 2; cp. s 8, 8, 5 ἐργάζεσθαι.—Work out τὶ someth. (Pla., Gorg. 473d ὁ κατειργασμένος τὴν τυραννίδα ἀδίκως) τὴν ἑαυτῶν σωτηρίαν κατεργάζεσθε Phil 2:12 (JMichael, Phil 2:12: Exp. 9th ser., 2, 1924, 439-50).
3.
to cause to be well prepared, prepare someone κ. τινα εἴς τι prepare someone for someth. (cp. Hdt. 7, 6, 1; X., Mem. 2, 3, 11) ἡμᾶς εἰς αὐτὸ τοῦτο for this very purpose 2 Cor 5:5.
4.
to be successful in the face of obstacles, overpower, subdue, conquer (Hdt. 6, 2 νῆσον; Thu. 6, 11, 1 al. τινά; 1 Esdr 4:4; Philo, Sacr. Abel. 62; Jos., Ant. 2, 44) ἅπαντα κατεργασάμενοι στῆναι after proving victorious over everything, to stand your ground Eph 6:13 (but s. 1 above).—M-M. TW.