Can't change/append data (integers) from python to .json file

I am currently making a save/load state of my game. I am using dictionaries and .json to save my data to a file. I am trying to add coins to the overall player statistics. Whenever the player collects the coins, they need to be saved to the player stats file. However, once I reload the game, the stats are back to their base ones. I have tried saving and loading back the data, but it doesn't seem to work. Any help is appreciated.

import json
import sys
pygame.init()

DARK_GREY =  58, 58, 58

coins_group = pygame.sprite.Group()

pygame.display.set_caption("My Game")
screen = pygame.display.set_mode((900, 600))
screen.fill(DARK_GREY)
tile_size = 50


class Level:
    def __init__(self, data):
        # Creating a list for the tiles
        self.tile_list = []

        # Loading block images
        dirt_block = pygame.image.load(r"Blocks\dirt_block.png")
        grass_block = pygame.image.load(r"Blocks\grass_block.png")
        invisible_block = pygame.image.load(r"Blocks\invisible_barrier.png")
        platform1_block = pygame.image.load(r"Blocks\platform_block1.png")

        row_count = 0

        # Assigns the values in the array with certain properties
        for row in data:
            col_count = 0
            for tile in row:
                if tile == 1: # Dirt Block
                    pass
                if tile == 2: # Grass Block
                    pass
                if tile == 3: # Invisible Barrier Block
                    pass
                if tile == 4: # Platform Block
                    image = pygame.transform.scale(platform1_block, (tile_size, tile_size))
                    
                    image_rect = image.get_rect()
                    
                    image_rect.x = col_count * tile_size
                    image_rect.y = row_count * tile_size

                    tile = (image, image_rect)
                    self.tile_list.append(tile)

                if tile == 5: # Coin
                    coin = Coin(col_count * tile_size + (tile_size // 2), row_count * tile_size + (tile_size // 2))
                    coins_group.add(coin)
                col_count += 1
            row_count += 1

    def draw(self):
        for tile in self.tile_list:
            screen.blit(tile[0], tile[1])


level_data = [
 [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],
 [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3],
 [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3],
 [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3],
 [3, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3],
 [3, 4, 4, 4, 0, 4, 4, 4, 0, 0, 5, 0, 0, 0, 0, 0, 0, 3],
 [3, 0, 0, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 3],
 [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 4, 3],
 [3, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 4, 4, 3],
 [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4, 3],
 [3, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4, 3],
 [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],
]


world = Level(level_data)


class Sprite(pygame.sprite.Sprite):
    def __init__(self, image, x, y):
        super().__init__()

        self.image = pygame.image.load(image)
        self.rect = self.image.get_rect()

    def update(self):
        pass

    def draw(self, display):
        display.blit(self.image, self.rect)


class Player(Sprite):
    def __init__(self, x, y, level, health, damage, coins, skill_points):
        super().__init__(r"Knight\Stand Up\stand_up_10.png", x, y)

        # Player stats
        self.level = level
        self.health = health
        self.damage = damage
        self.coins = coins
        self.skill_points = skill_points

        # Health system attributes
        self.current_health = 100
        self.maximum_health = self.health
        self.health_bar_length = 100
        self.health_ratio = self.maximum_health // self.health_bar_length

        # Idle image setup
        self.idle_image = self.image

        # Character attributes used when moving left and right, as well as jumping
        self.speed = 6
        self.jump_speed = 12
        self.y_speed = 0
        self.jumped = False

    def update(self):
        dx = 0
        dy = 0

        key = pygame.key.get_pressed()

        if key[pygame.K_LEFT]:
            self.facing_left = True
            dx = -self.speed
        elif key[pygame.K_RIGHT]:
            self.facing_left = False
            dx += self.speed
        else:
            if not self.facing_left:
                self.image = self.idle_image
            else:
                self.image = pygame.transform.flip(self.idle_image, True, False)

        if key[pygame.K_UP] and not self.jumped:
            self.y_speed = -self.jump_speed
            self.jumped = True

        # Checks and applies gravity
        self.y_speed += 1
        if self.y_speed > 15:
            self.y_speed = 15
        dy += self.y_speed

        # Checks and applies collision
        for tile in world.tile_list:

            # Detection in the x direction
            if tile[1].colliderect(self.rect.x + dx, self.rect.y, self.player_width, self.player_height):
                dx = 0

            # Detection in the y direction
            if tile[1].colliderect(self.rect.x, self.rect.y + dy, self.player_width, self.player_height):
                if self.y_speed < 0:
                    dy = tile[1].bottom - self.rect.top
                    self.y_speed = 0
                elif self.y_speed >= 0:
                    dy = tile[1].top - self.rect.bottom
                    self.jumped = False

        # Updates movement
        self.rect.x += dx
        self.rect.y += dy

    def save_to_json(self, filename):
        # Creating a dictionary to store all the data there
        player_dictionary = {'level': self.level, 'health': self.health, 'damage': self.damage, 'coins': self.coins, 'skill_points': self.skill_points}

        # Writing the data in a file using json
        with open(filename, "a+") as f:
            f.write(json.dumps(player_dictionary, indent=2))

    def load_from_json(self, filename):
        # Reading the data in a file using json
        with open(filename, 'r') as f:
            player_data = json.loads(f.read())

        # Updating the attributes (stats) of the player by looking up the data in the dictionary
        self.level = player_data['level']
        self.health = player_data['health']
        self.damage = player_data['damage']
        self.coins = player_data['coins']
        self.skill_points = player_data['skill_points']

    def collect_coin(self, amount):
        self.coins += amount
        self.save_to_json(r"Player_stats.json")

    def execute_player(self):
        self.update()
        self.draw(screen)

def update_game():
    pygame.display.flip()
    clock.tick(FPS)
    pygame.event.pump()
    pygame.display.update()


def demo_level():
    player.load_to_json("Player_stats.json")

    coin_image = pygame.image.load(r"Blocks\coin.png")
    coin_scale = pygame.transform.scale(coin_image, (50, 50))

    pygame.display.update()

    while True:

        for event in pygame.event.get():
            if event.type == pygame.QUIT:

                pygame.quit()
                sys.exit()

            if pause_button.is_clicked(event):
                navigation(DARK_GREY)
                pause_menu()

        # Overlay
        screen.fill(LIGHT_BLUE)
        world.draw()
        coins_group.draw(screen)
        screen.blit(coin_scale, (10, 80))
        coins_text = text(f"{player_stats['coins']}", 60, 80, 85)

        if pygame.sprite.spritecollide(player, coins_group, True):
            player.coins += 1
            player.save_to_json("Player_stats.json")

        # Player commands
        player.execute_player()

        # Updating the screen
        update_game()



Replace the a+ with w in the with open(filename, "a+") part. a+ instructs python to append to an existing file, which results in an invalid json file after saving twice.