"Into" is the correct preposition when indicating movement towards the inside of something, such as jumping into a pool.
- "Of" refers to possession or origin, which doesn’t fit here.
- "With" refers to accompaniment, and "out" refers to leaving or moving away, which do not fit the context.
Use "into" to describe movement from outside to inside, such as "jump into the pool."
The manager asked the team to complete the project _______ the end of the week.