Blender Script to Name each animation Frame after the marker and number the frames per animation, rather than per sequence

Blender Animations by Marker

import bpy
import os
import time

# get the scene
scn = bpy.context.scene

# get the output path
output_path = scn.render.filepath

starting_filepath = output_path

all_unsorted_markers = scn.timeline_markers.values()
all_markers = sorted(all_unsorted_markers, key=lambda x: x.frame)

current_marker_index = 0
current_marker = all_markers[current_marker_index]

for frame in range(scn.frame_start, scn.frame_end):
    next_marker_index = current_marker_index+1
    
    if len(all_markers) > next_marker_index :
        if all_markers[next_marker_index].frame == frame :
            current_marker_index += 1
            current_marker = all_markers[current_marker_index]
    
    marker_name = current_marker.name
    animation_frame_number = str(frame - current_marker.frame)
    scn.frame_set(frame)
    
    print("Progress :")
    print(str(current_marker_index) + " | " + str(len(all_markers)))
    print("Marker / Frame  :")
    print(marker_name + " | " + animation_frame_number)
    
    scn.render.filepath = os.path.join(output_path,marker_name + "-" + animation_frame_number + ".png")
    bpy.ops.render.render( write_still=True )
    
    
bpy.context.scene.render.filepath = starting_filepath
print("DONE")