Implement a Flappy Bird Jump Agent

Implement a function `should_jump(state) -> bool` for a simplified Flappy Bird game. The bird has a fixed horizontal position `bird_x` and a vertical position `bird_y`. Smaller `y` means the bird is higher on the screen. The current game state contains: - `bird_y`: current vertical position - `bird_v`: current vertical velocity - `bird_x`: current horizontal position - `screen_height`: height of the screen - `next_pipe`: an object with: - `x`: left edge of the next pipe - `width`: pipe width - `gap_top`: top boundary of the gap - `gap_bottom`: bottom boundary of the gap Game physics: - If the bird jumps on the current frame, its velocity becomes `-8`. - Gravity is `+1` per frame. - Each frame updates in this order: 1. `y += v` 2. `v += 1` - The pipe moves left by `1` unit per frame. - The bird dies if it goes outside the screen bounds or hits a pipe. - A collision with the pipe happens when the bird's `x` lies within the pipe's horizontal range and the bird's `y` is not strictly inside the gap `(gap_top, gap_bottom)`. Return `true` if the bird should jump on the current frame, or `false` otherwise. Your policy should be deterministic and should prioritize survival, especially when the bird is close to the ground or approaching the next pipe at an unsafe height.