 ```python
import seed_emulator as se

# Create transit AS
transit_as = se.make_transit_as()
ix1 = se.InternetExchange(name="IX1")
ix2 = se.InternetExchange(name="IX2")
transit_as.add_internet_exchange(ix1)
transit_as.add_internet_exchange(ix2)
internal_networks = [se.InternalNetwork(name=f"INT_{i}") for i in range(3)]
transit_as.add_internal_networks(internal_networks)
routers = [se.Router(name=f"R_{i}") for i in range(4)]
transit_as.add_routers(routers)
for i in range(1, len(routers)):
    transit_as.connect(routers[i-1], routers[i])

# Create stub ASes
stub_as1 = se.makeStubAs(name="StubAS1")
stub_as2 = se.makeStubAs(name="StubAS2")
stub_as3 = se.makeStubAs(name="StubAS3")

# Customize StubAS1
host1 = se.HostNode(name="Host1", software_installed=True, account_created=True)
host2 = se.HostNode(name="Host2")
internal_network1 = se.InternalNetwork(name="INT_NET1")
router1 = se.Router(name="Router1")
stub_as1.add_internal_network(internal_network1)
stub_as1.add_router(router1)
stub_as1.add_host_nodes([host1, host2])
router1.connect_to_network(internal_network1)

# Customize StubAS3 using utility function
stub_as3_func = se.makeEmulatorBaseWith10StubASAndHosts
stub_as3 = stub_as3_func(customize=lambda asn, name: se.makeStubAs(asn=asn, name=name))
stub_as3 = stub_as3_func(customize=lambda asn, name: se.makeStubAsWithHosts(asn=asn, name=name))

# Establish BGP peering
ebgp_layer = se.EbgpLayer()
for stub_as in [stub_as1, stub_as2, stub_as3]:
    ebgp_layer.add_peer(transit_as, stub_as)
ebgp_layer.add_peer(stub_as1, stub_as2)

# Create web service layer
web_service_nodes = [se.WebService(name=f"WS_{i}") for i in range(2)]
web_service_physical_nodes = se.getVirtualNodes(web_service_nodes)
for web_service_node, physical_node in zip(web_service_nodes, web_service_physical_nodes):
    physical_node.bind_service(web_service_node)

# Add layers to emulator
emulator = se.Emulator()
emulator.add_layer(transit_as)
emulator.add_layer(ebgp_layer)
emulator.add_layer(stub_as1)
emulator.add_layer(stub_as2)
emulator.add_layer(stub_as3)
emulator.add_layer(web_service_nodes)
emulator.save_to_component_file("emulator.json")

# Render emulator
emulator.render()
emulator.rename_node(se.getNodeByAsnAndName(transit_as.asn, "WS_0"), "WS_Rendered")
emulator.rename_node(se.getNodeByAsnAndName(transit_as.asn, "WS_1"), "WS_Rendered_2")

# Compile emulator using Docker
docker_compose_file = "docker-compose.yml"
emulator.compile_to_docker(docker_compose_file, base_image="mybaseimage", custom_images={
    "stub_as_image": "mydockerhub/stub_as:latest",
    "transit_as_image": "mydockerhub/transit_as:latest",
    "web_service_image": "mydockerhub/web_service:latest",
    "local_image": "./mylocalimage:latest"
})
emulator.copy_base_container_image_to_output_folder(docker_compose_file)
```

This code creates an emulation environment using the seed-emulator library, as per your instructions. It includes three types of autonomous systems (AS): transit, stub, and utility. The transit AS, stub AS1, and stub AS3 are customized according to your requirements. BGP peering is established, and a web service layer is created. The emulator is saved to a component file, rendered, and compiled using Docker, with custom images specified from DockerHub and local sources. Docker files are generated, and the base container image is copied to the output folder.