Catch the fruit

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Implement a osu!catch style game.

Introduction

osu!catch is a rhythm game where the player moves a "basket" to catch "fruits" falling from the top of the screen to the beat of a song. Think pong, but with timing.

It is highly recommended to watch this video before reading the question.

Here's a gameplay example from Bubbler: [osu!catch] Hitsuji to Ojisan - XENO [Spec's Overdose]

Input

You are required to take the following inputs:

Time: How long your program is supposed to run.
Approach Rate: This is the speed at which the "fruits" are supposed to fall down.
Beatmap: An array of [time, x position, value] triplets where:
- Time: you must support time in seconds, at the very least. Higher precision is encouraged.
- X position: Where it will fall from.
- Value: The size of the "fruit" will decrease with it's value.

Gameplay

Play area

The canvas must be in a 4:3 aspect ratio.
The score must be displayed at the top of the screen, in the middle. You do not need to align it.
The score starts at 0.
Use a dark background(#222222, preferably).

The player

The player must be of a rectangular shape, white in color.
Height: 1/50 of canvas height, Width: 1/6 of canvas width.
The player must be at the bottom of the screen, movable using any two keys of your choice.
The player must have a "dash" button. Their speed must increase by a set amount when they hold the dash button.
When the player collects a fruit, it must disappear, and it's value must be added to the score.
When the player misses a fruit, there should be an indicative visual cue where the fruit fell.(a small red square, preferably)

Fruits

Fruit must be square in shape, and red in color.
Fruits must fall from the top of the screen, outside the viewport(unless unsupported).
Max fruit size is 0.1 × height. Size scales inversely with value.
Fruit speed must be related to the approach rate i.e. Higher approach rate must make the fruits fall faster. You may do this however you like, but please be reasonable.
The lower edge of the fruit must touch the bottom of the screen at it's time value.

Scoring

This is code-golf. Shortest answer in each language wins.

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