Where does “nonrecourse” come from?

I cannot write this etymology summary because the provided chain appears corrupted or incorrectly ordered. The chain jumps between "recourse," "nona," "nonus," "novem," and "nine" without establishing a coherent path to "nonrecourse." Additionally, the Proto-Indo-European roots (kers-, wer-) don't clearly connect to the Latin numerals or "recourse." To write an accurate one-sentence origin, I would need a valid etymological chain showing how "nonrecourse" derives from its actual components: "non-" (Latin negation) + "recourse" (from Latin recurrere, "to run back"). Could you verify the chain?

nonrecourse (English): Of or pertaining to a form of financing,...

Definitions

  1. Of or pertaining to a form of financing,...

Ancestry of “nonrecourse”, step by step

StepLanguageWordMeaning
1EnglishrecourseThe act of seeking assistance or advice; A...
2Old Frenchrecours
3Latinrecursusreturned, reverted; recurred
4Latinrecurrōto run or hasten back
5Latinrĕ-back, backwards
6Latinprōdūcōto lead or bring forth, forward or out
7Latinprō-forward direction, forward movement
8Proto-Italic*pro-pro- see the Latin entry for further meanings
9Proto-Indo-Europeanpro-toward, forward
10Proto-Indo-Europeanpor-to give birth; forward, through; going, passage
11Proto-Indo-Europeanper-before, in front; first; to go through
12Proto-Indo-Europeanpr̥tóspassed , crossed
Every word from Proto-Indo-European pr̥tósEvery word from Proto-Indo-European per-Every word from Latin rĕ-