In Hamlets soliloquy "To be or not to be," what side of the problem does Hamlet choose?

At the end of
his , he makes it very clear that his answer is that he cannot kill himself:

Thus the native hue of resolution/ Is sicklied o'er with the pale
cast of thought

He is essentially saying, "Clearly I
am getting slowed down because I have to think so much about this idea and whether or not
suicide is worth it, given that it is both a mortal sin and leads to an afterlife 'from whose
bourn no traveller returns' to tell us what it is like, so it is plenty scary."

In "los[ing] the name of action,"decides that he cannot go through with his
plan to kill himself and will instead continue to exist. He continues to struggle with why he
should exist, though as the previous answers make clear, he eventually decides that...