Janky Solution

extends Button

@export var hover_scale: Vector2
@export_range(0.00, 2.0, 0.02) var hover_anim_duration: float

var init_size: Vector2
var init_pos: Vector2
var final_pos: Vector2
var pivot_movement: Vector2

func _ready() -> void:
    init_size = size
    init_pos = global_position

    mouse_entered.connect(button_entered)
    mouse_exited.connect(button_exited)
#   pressed.connect(button_pressed)

func button_entered():
    var tween:= create_tween()
    tween.tween_property(self, "size", init_size * hover_scale, hover_anim_duration).set_ease(Tween.EASE_IN_OUT).set_trans(Tween.TRANS_EXPO)
    tween.parallel()
    tween.tween_property(self, "global_position", final_pos, hover_anim_duration).set_ease(Tween.EASE_IN_OUT).set_trans(Tween.TRANS_EXPO)
    tween.parallel()

func button_exited():
    var tween:= create_tween()
    tween.tween_property(self, "size", init_size, hover_anim_duration).set_ease(Tween.EASE_IN_OUT).set_trans(Tween.TRANS_EXPO)
    tween.parallel()
    tween.tween_property(self, "global_position", init_pos, hover_anim_duration).set_ease(Tween.EASE_IN_OUT).set_trans(Tween.TRANS_EXPO)
    tween.parallel()

func button_pressed():
    pass

func _process(delta: float) -> void:
    pivot_movement = (init_size * hover_scale) - init_size
    final_pos = init_pos - pivot_movement / 2.0