New input system & character controller

Hi, i'm having problems with new input system and characterController. The problem here is that my player just floats to a considerable height when i start the game, and i can't manage to make the input system and character controller to work together, but when i use rigidbodies it magically starts to work. Here's my code

using UnityEngine; #if ENABLE_INPUT_SYSTEM using UnityEngine.InputSystem; #endif

public class Player : MonoBehaviour { #region Variables

 //? Serialized variables
 [Header("Player")]
 [Tooltip("The sprint speed of the player")]
 public float sprintSpeed;
 [Tooltip("The standard moving speed of the player")]
 public float moveSpeed;
 public float speedOffset = 0.1f;
 [Tooltip("Acceleration and deceleration")]
 private float speedChangeRate = 10.0f;
 [Space(10)]
 [Tooltip("The height to jump")]
 public float jumpHeight = 1.2f;

 //? Unserialized variables
 private const float g = -9.81f;
 private const float _terminalVelocity = 102f; //Calculated for 90kg of mass, humanoid shape
 private CharacterController _playerController;
 private InputSheet _playerInput;
 private float _verticalVelocity;
 private float _jumpCooldownDelta;
 private bool _grounded;
 private float _actualSpeed;
 private float _jumpCooldown = 1f;

 #endregion

 private void Awake() 
 {
     _playerController = GetComponent<CharacterController>();

     _playerInput = new InputSheet();
     _playerInput.Player.Enable();
     _playerInput.Player.Jump.performed += Jump;
     _playerInput.Player.Move.performed += Move;
 }

 private void Start() 
 {
     //Reset cooldown
     _jumpCooldownDelta = _jumpCooldown;
 }

 private void Update() 
 {
     _grounded = transform.Find("GroundCheck").GetComponent<GroundCheck>().isGrounded;
 }

 private void Move(InputAction.CallbackContext context)
 {
     //Get movement vector
     Vector2 inputVector = context.ReadValue<Vector2>();

     //Choose speed based on if sprint input is pressed
     float _targetSpeed = _playerInput.Player.Sprint.triggered ? sprintSpeed : moveSpeed;

     float horizontalSpeed = new Vector3(_playerController.velocity.x, 0.0f, _playerController.velocity.z).magnitude;

     if(horizontalSpeed < _targetSpeed - speedOffset || horizontalSpeed > _targetSpeed + speedOffset)
     {
         Debug.Log("Target speed:" + _targetSpeed);
         //Creates curved result for more organical shape, and rounds to 3 decimal places
         _actualSpeed = Mathf.Round(Mathf.Lerp(horizontalSpeed, _targetSpeed, speedChangeRate * Time.deltaTime) * 1000f) / 1000f;
         Debug.Log("speed:" + _actualSpeed);
     }

     _playerController.Move(new Vector3(inputVector.x, _playerController.velocity.y, inputVector .y) * _actualSpeed); 
 }

 private void Jump(InputAction.CallbackContext context)
 {
     //If <jump button> is pressed and cooldown has passed and is grounded, Jump
     if(context.performed && _grounded && _jumpCooldownDelta <= 0.0f)
     {
         //Formula to calculate the speed needed to reach requested point
         _verticalVelocity = Mathf.Sqrt(jumpHeight * -2f * g);

         //Add the force and reset cooldown
         _playerController.Move(new Vector3(0.0f, _verticalVelocity, 0.0f));
     }
 }

 private void ApplyGravity()
 {
     if(_grounded)
     {
         //Stop from falling indefinitely
         if(_verticalVelocity < 0.0f)
         {
             _verticalVelocity = -2f;
         }

         //Process jump cooldown
         if(_jumpCooldownDelta > 0.0f) 
             _jumpCooldownDelta -= Time.deltaTime;
     }
     else
     {
         if(_verticalVelocity < _terminalVelocity)
             _verticalVelocity += g * Time.deltaTime;

         //Reset cooldown
         _jumpCooldownDelta = _jumpCooldown;
     }
 }

}

P.S: _grounded is not part of CharacterController, but it isn't the issue since it works with rigidbody.

Thanks in advance for all the answers.