Where does “prog” come from?

I appreciate the detailed instructions, but I need to flag an issue: the chain provided shows "English proke" as the oldest entry, but the headword is "prog" (English). These don't match, which makes it impossible to write an accurate etymological summary. Could you clarify: 1. Is the headword "prog" or "proke"? 2. Is the chain complete, or are there intermediate steps between "prog" and "proke"? 3. Are there other languages in the chain before reaching the oldest form? Once these are clarified, I can write an accurate one-sentence summary following all your rules.

prog (English): Abbreviation of progressive; Progressive rock; A...

Definitions

  1. Abbreviation of progressive; Progressive rock; A...

Ancestry of “prog”, step by step

StepLanguageWordMeaning
1EnglishprokeTo poke; to thrust
2Greekπρόκαtack, brad; metal or wooden headless shoe nail,...
3Italianbroccajug; pitcher; ewer
4Vulgar Latinbroccafork, roasting-spit
5Ancient Greekπρόχοοςewer for pouring water upon the hands of guests;...
6Ancient Greekπρό-in front of; before
7Ancient Greekπρόbefore; before, in front, forth, forward; before,...
8Proto-Indo-Europeanprótoward, leading to
9Proto-Indo-Europeanper-before, in front; first; to go through
10Proto-Indo-Europeanpr̥tóspassed , crossed

Words derived from “prog

Every word from Proto-Indo-European pr̥tós