Which Jesus died or in what sense did Jesus ("God") die for our sins

Jesus is "fully God" & "fully man". Jesus (the man) is made up of body+spirit(+soul). Jesus (God) is a spirit. Which of these "natures" died for us, considering that: 1. Jesus (divine/God) does not die. So (divine) Jesus did not die. 2. The Soul+spirit of Jesus ("fully man") did not die. Our spirits do not "die" with our bodies & Jesus (man) was sinless (his soul was fine) 3. The body of Jesus ("fully man") is just a vessel/container without life of its own (when the "immortal" spirit is taken out). NOTES/EDITS: My question goes beyond just the issue of whether Jesus as a human can die and still be God. I "consider" the "two persons/natures" ("fully God" and "fully man") to understand not whether God can die, but even in what sense Jesus (fully man") died; given that his spirit and soul never died, and his physical (human) body never had a life of its own separate from the human spirit.