Run operator automatically in script when the script is executed

Hello
I edited this script for automated baking and denoising and would like the run the script from another button in a separate script.
But I can’t figure out what I have to change in order to run the "class EXAMPLE_OT_modal_operator(bpy.types.Operator): " operator as soon as i run the script as a whole.

import bpy
import time

#Operation Dict
#operation will  need to be divided in multiple steps

sleep = 1

def _00(): 
    print("f00")
    time.sleep(sleep)
    
def _01(): 
    print("f01")
    time.sleep(sleep)
    
def _02(): 
    print("f02")
    time.sleep(sleep)
    
def _03(): 
    print("f03")
    time.sleep(sleep)
    
def _04(): 
    print("f04")
    time.sleep(sleep)
     
Operations = {
    "First Step":_00,
    "Second Step":_01,
    "Running Stuff":_02,
    "Wait a minute":_03,
    "There's a problem":_04,    
    "ah no it's ok":_04,    
    "we are done":_04,    
    }

#Modal Operator

class EXAMPLE_OT_modal_operator(bpy.types.Operator): 
    
    bl_idname = "example.modal_operator"
    bl_label = "Modal Operator"
    
    def __init__(self):
        
        self.step = 0
        self.timer = None
        self.done = False
        self.max_step = None
        
        self.timer_count = 0 #timer count, need to let a little bit of space between updates otherwise gui will not have time to update
                
    def modal(self, context, event):
        
        global Operations
        
        #update progress bar
        if not self.done:
            print(f"Updating: {self.step+1}/{self.max_step}")
            #update progess bar
            context.object.progress = ((self.step+1)/(self.max_step))*100
            #update label
            context.object.progress_label = list(Operations.keys())[self.step]
            #send update signal
            context.area.tag_redraw()
            
            
        #by running a timer at the same time of our modal operator
        #we are guaranteed that update is done correctly in the interface
        
        if event.type == 'TIMER':
            
            #but wee need a little time off between timers to ensure that blender have time to breath, so we have updated inteface
            self.timer_count +=1
            if self.timer_count==10:
                self.timer_count=0
                
                if self.done:
                    
                    print("Finished")
                    self.step = 0
                    context.object.progress = 0
                    context.window_manager.event_timer_remove(self.timer)
                    context.area.tag_redraw()
                    
                    return {'FINISHED'}
            
                if self.step < self.max_step:
                        
                    #run step function
                    list(Operations.values())[self.step]()
                    
                    self.step += 1
                    if self.step==self.max_step:
                        self.done=True
                    
                    return {'RUNNING_MODAL'}
        
        return {'RUNNING_MODAL'}
            
    def invoke(self, context, event):
        
        print("")
        print("Invoke")
        
        #terermine max step
        global Operations
        if self.max_step == None:
            self.max_step = len(Operations.keys())        

        context.window_manager.modal_handler_add(self)
        
        #run timer 
        self.timer = context.window_manager.event_timer_add(0.1, window=context.window)
        
        return {'RUNNING_MODAL'}



#Panel

class EXAMPLE_PT_panel(bpy.types.Panel):

    bl_idname      = "EXAMPLE_PT_panel"
    bl_label       = "Example"
    bl_category    = "Example"
    bl_space_type  = "VIEW_3D"
    bl_region_type = "UI"
    bl_context     = "objectmode"

    def draw(self, context):
        layout = self.layout
        obj = context.object
        
        if obj.progress: 
            progress_bar = layout.row()
            progress_bar.prop(bpy.context.object,"progress")
            progress_lbl = layout.row()
            progress_lbl.active = False
            progress_lbl.label(text=bpy.context.object.progress_label)
        else:
            ope = layout.row()
            ope.operator_context = "INVOKE_DEFAULT"
            ope.operator("example.modal_operator",text="Run Modal Operator")
        
        return 
    

#Registering Stuff...

bpy.types.Object.progress = bpy.props.FloatProperty( name="Progress", subtype="PERCENTAGE",soft_min=0, soft_max=100, precision=0,)
bpy.types.Object.progress_label = bpy.props.StringProperty()
    
bpy.utils.register_class(EXAMPLE_PT_panel)
bpy.utils.register_class(EXAMPLE_OT_modal_operator)

bpy.ops.example.modal_operator()

Depending on what it does, it may not work because the context(which space is active, which will be the text editor when you click run script) will be wrong.