 Here is the Python code that follows your instructions using the PyAEDT library:

```python
from pyAEDT import *

# Set non-graphical mode
aedt_options = AEDTOptions()
aedt_options.set_non_graphical_mode()

# Download a 3D component
download_icepak_3d_component(aedt=AEDT(), component_name='my_component', component_path='path_to_your_component.ice')

# Launch HFSS and save the project with a unique name
project_name = generate_unique_project_name()
launch_hfss(aedt=AEDT(), project_name=project_name)

# Read the array definition from a JSON file and load a 3D component into the dictionary from a specified path
with open('array_definition.json') as f:
    array_data = json.load(f)
component_path = 'path_to_your_component_dictionary.json'
array_components = add_3d_component_array_from_json(aedt=AEDT(), json_file_path=component_path, json_data=array_data)

# Set up a simulation and analyze it
setup_name = generate_unique_setup_name()
generate_buildings(aedt=AEDT(), project_name=project_name, buildings_path='path_to_your_buildings.json')
generate_excitations(aedt=AEDT(), project_name=project_name, excitation_path='path_to_your_excitation.json')
generate_mesh(aedt=AEDT(), project_name=project_name)
generate_design_data(aedt=AEDT(), project_name=project_name, setup_name=setup_name)

# Get far field data after the simulation completes
far_field_data = get_far_field_data(aedt=AEDT(), project_name=project_name, setup_name=setup_name)

# Generate contour plot
contour_plot(aedt=AEDT(), project_name=project_name, setup_name=setup_name, far_field_data=far_field_data)

# Generate 2D cutout plots
cutout_2d_plots(aedt=AEDT(), project_name=project_name, setup_name=setup_name)

# Generate 3D polar plots in Matplotlib
import matplotlib.pyplot as plt
generate_3d_polar_plots_matplotlib(aedt=AEDT(), project_name=project_name, setup_name=setup_name, far_field_data=far_field_data)

# Generate 3D plots in PyVista
import pyvista
generate_3d_plots_pyvista(aedt=AEDT(), project_name=project_name, setup_name=setup_name, far_field_data=far_field_data)

# Release AEDT at the end
release_aedt(aedt=AEDT())
```

Please note that you need to replace the placeholders with the actual paths to your JSON files, 3D component, buildings, and excitations. Also, the functions `get_far_field_data`, `contour_plot`, `cutout_2d_plots`, `generate_3d_polar_plots_matplotlib`, and `generate_3d_plots_pyvista` are not provided in the PyAEDT library, so you may need to implement them yourself or find alternative solutions for generating the desired plots.

Additionally, you may need to install the required dependencies for Matplotlib and PyVista if you haven't already. You can do this using pip:

```
pip install matplotlib pyvista
```