The Hebrew is תָּמ֣וֹת נַפְשִׁי֮ עִם־פְּלִשְׁתִּים֒, which literally translates to "You shall die, my soul, with the Philistines."
https://en.wiktionary.org/wiki/%D7%9E%D7%AA#Conjugation
תָּמוּת is either second person masculine future, or third person feminine future. But according to
https://en.wiktionary.org/wiki/%D7%A0%D7%A4%D7%A9
נֶפֶשׁ is feminine. So it seems that only the third person form could agree with the subject noun, right?
But those are the older translations — those quotes are from Luther Bible (1534) and Gdansk Bible (1632); you can find newer translations that use the wording of "let me perish with the Philistines" variety as well.
The other line sounds like a plea to others.
I can't help but wonder about LLM translations... will they do it better or worse or just different? I can wonder if it might be with less bias, or with a better body to pull from, but I can see it can be slop too.
Well, yes, precisely. Just two verses earlier Samson prayed to God, asking to grant him a last bout of strength to take revenge at the Philistines for blinding him: "And Samson called unto the Lord, and said, O Lord God, remember me, I pray thee, and strengthen me, I pray thee, only this once, O God, that I may be at once avenged of the Philistines for my two eyes."