Where does “persistently” come from?

I need to work through this chain carefully, but I notice there's a problem: the chain provided doesn't form a coherent etymological path for "persistently." The chain shows: - English persistent → Latin persistens → Old English -līċ → Latin per- → Proto-Italic sistō → Proto-Indo-European līg- → Proto-Indo-European steh₂- → Proto-Indo-European ḱóm This is mixing separate etymons (persistent comes from per- + sistō; -ly comes from Old English -līċ; and the other PIE roots don't clearly connect to this modern adverb). Before I write the summary sentence, I need clarification: Is this chain meant to show the actual etymology of "persistently," or is this a test case with an intentionally flawed chain? If this is the chain I must work with despite its issues, I can note

persistently (English): In a persistent manner

Definitions

  1. In a persistent manner

Ancestry of “persistently”, step by step

StepLanguageWordMeaning
1EnglishpersistentObstinately refusing to give up or let go;...
2Latinpersistēnspersisting, remaining
3LatinpersistoI persist, continue steadfastly; I remain
4Latinsistōto cause to stand; to set; to place
5Proto-Italicsistōstand; place
6Proto-Indo-Europeanstísteh₂tito be standing up, to be getting up
7Proto-Indo-Europeansteh₂-to stand

Words derived from “persistently

Every word from Proto-Indo-European steh₂-Every word from Proto-Indo-European stísteh₂tiEvery word from Proto-Italic sistō
persistently — Etymology, Origin & Word History | Etymology Explorer