Implementing a complete solution with all of the details you've asked requires a substantial amount of code, and providing an exhaustive example here may not be possible. I can, however, provide a general layout and code snippets for each layer of the Clean Architecture in an ASP.NET Core Web API application using the Facade Pattern for a CarCompany CRUD transaction.
Layers of Architecture that are Clean

Web API (Presentation Layer)
HTTP requests are handled by controllers.
DTOs (Data Transfer Objects) are used to communicate.

// CarCompanyController.cs
[ApiController]
[Route("api/[controller]")]
public class CarCompanyController : ControllerBase
{
    private readonly ICarCompanyFacade _carCompanyFacade;

    public CarCompanyController(ICarCompanyFacade carCompanyFacade)
    {
        _carCompanyFacade = carCompanyFacade;
    }

    [HttpGet]
    public IActionResult GetAll()
    {
        var carCompanies = _carCompanyFacade.GetAllCarCompanies();
        return Ok(carCompanies);
    }

    [HttpGet("{id}")]
    public IActionResult GetById(int id)
    {
        var carCompany = _carCompanyFacade.GetCarCompanyById(id);
        return Ok(carCompany);
    }

    [HttpPost]
    public IActionResult Create([FromBody] CarCompanyDto carCompanyDto)
    {
        var createdCompany = _carCompanyFacade.CreateCarCompany(carCompanyDto);
        return CreatedAtAction(nameof(GetById), new { id = createdCompany.Id }, createdCompany);
    }

    [HttpPut("{id}")]
    public IActionResult Update(int id, [FromBody] CarCompanyDto carCompanyDto)
    {
        _carCompanyFacade.UpdateCarCompany(id, carCompanyDto);
        return NoContent();
    }

    [HttpDelete("{id}")]
    public IActionResult Delete(int id)
    {
        _carCompanyFacade.DeleteCarCompany(id);
        return NoContent();
    }
}

Application Layer

• Interfaces for the Facade.
• Implementation of the Facade.

// ICarCompanyFacade.cs
public interface ICarCompanyFacade
{
    IEnumerable<CarCompanyDto> GetAllCarCompanies();
    CarCompanyDto GetCarCompanyById(int id);
    CarCompanyDto CreateCarCompany(CarCompanyDto carCompanyDto);
    void UpdateCarCompany(int id, CarCompanyDto carCompanyDto);
    void DeleteCarCompany(int id);
}

// CarCompanyFacade.cs
public class CarCompanyFacade: ICarCompanyFacade
{
    private readonly ICarCompanyService _carCompanyService;

    public CarCompanyFacade(ICarCompanyService carCompanyService)
    {
        _carCompanyService = carCompanyService;
    }

    public IEnumerable<CarCompanyDto> GetAllCarCompanies()
    {
        try
        {
            var carCompanies = _carCompanyService.GetAllCarCompanies();
            return carCompanies.Select(MapToDto);
        }
        catch (Exception ex)
        {
            throw new ApplicationException("Error occurred while fetching car companies.", ex);
        }
    }

    public CarCompanyDto GetCarCompanyById(int id)
    {
        try
        {
            var carCompany = _carCompanyService.GetCarCompanyById(id);
            return carCompany != null ? MapToDto(carCompany) : null;
        }
        catch (Exception ex)
        {
            throw new ApplicationException($"Error occurred while fetching car company with Id {id}.", ex);
        }
    }

    public CarCompanyDto CreateCarCompany(CarCompanyDto carCompanyDto)
    {
        try
        {
            var newCompany = new CarCompany
            {
                Name = carCompanyDto.Name,
            };

            _carCompanyService.CreateCarCompany(newCompany);
            return MapToDto(newCompany);
        }
        catch (Exception ex)
        {
            throw new ApplicationException("Error occurred while creating a new car company.", ex);
        }
    }

    public void UpdateCarCompany(int id, CarCompanyDto carCompanyDto)
    {
        try
        {
            var existingCompany = _carCompanyService.GetCarCompanyById(id);

            if (existingCompany != null)
            {
                existingCompany.Name = carCompanyDto.Name;
                // Update other properties...

                _carCompanyService.UpdateCarCompany(existingCompany);
            }
            else
            {
                throw new KeyNotFoundException($"Car company with Id {id} not found.");
            }
        }
        catch (Exception ex)
        {
            throw new ApplicationException($"Error occurred while updating car company with Id {id}.", ex);
        }
    }

    public void DeleteCarCompany(int id)
    {
        try
        {
            var existingCompany = _carCompanyService.GetCarCompanyById(id);

            if (existingCompany != null)
            {
                _carCompanyService.DeleteCarCompany(existingCompany);
            }
            else
            {
                throw new KeyNotFoundException($"Car company with Id {id} not found.");
            }
        }
        catch (Exception ex)
        {
            throw new ApplicationException($"Error occurred while deleting car company with Id {id}.", ex);
        }
    }

    private CarCompanyDto MapToDto(CarCompany carCompany)
    {
        return new CarCompanyDto
        {
            Id = carCompany.Id,
            Name = carCompany.Name,
        };
    }
}

Domain Layer
Define the CarCompany entity.
// CarCompany.cs
public class CarCompany
{
    public int Id { get; set; }
    public string Name { get; set; }
}

Infrastructure Layer
Implement the repository, database context, and any other infrastructure concerns.
// CarCompanyDbContext.cs
public class CarCompanyDbContext: DbContext
{
    public DbSet<CarCompany> CarCompanies { get; set; }

    public CarCompanyDbContext(DbContextOptions<CarCompanyDbContext> options) : base(options)
    {
    }

    protected override void OnModelCreating(ModelBuilder modelBuilder)
    {
        // Configure entity properties, relationships, etc.
        modelBuilder.Entity<CarCompany>().HasKey(c => c.Id);
        modelBuilder.Entity<CarCompany>().Property(c => c.Name).IsRequired();
        // Configure other properties...

        // Seed initial data if needed
        modelBuilder.Entity<CarCompany>().HasData(
            new CarCompany { Id = 1, Name = "Company A" },
            new CarCompany { Id = 2, Name = "Company B" }
            // Add other seed data...
        );

        base.OnModelCreating(modelBuilder);
    }
}

// CarCompanyRepository.cs
public class CarCompanyRepository: ICarCompanyRepository
{
    private readonly CarCompanyDbContext _dbContext;

    public CarCompanyRepository(CarCompanyDbContext dbContext)
    {
        _dbContext = dbContext;
    }

    public IEnumerable<CarCompany> GetAll()
    {
        return _dbContext.CarCompanies.ToList();
    }

    public CarCompany GetById(int id)
    {
        return _dbContext.CarCompanies.Find(id);
    }

    public void Add(CarCompany carCompany)
    {
        _dbContext.CarCompanies.Add(carCompany);
        _dbContext.SaveChanges();
    }

    public void Update(CarCompany carCompany)
    {
        _dbContext.CarCompanies.Update(carCompany);
        _dbContext.SaveChanges();
    }

    public void Delete(int id)
    {
        var carCompany = _dbContext.CarCompanies.Find(id);
        if (carCompany != null)
        {
            _dbContext.CarCompanies.Remove(carCompany);
            _dbContext.SaveChanges();
        }
    }
}

// ICarCompanyRepository.cs
public interface ICarCompanyRepository
{
    IEnumerable<CarCompany> GetAll();
    CarCompany GetById(int id);
    void Add(CarCompany carCompany);
    void Update(CarCompany carCompany);
    void Delete(int id);
}

Dependency Injection
Register dependencies in Startup.cs.

public void ConfigureServices(IServiceCollection services)
{
    services.AddScoped<ICarCompanyRepository, CarCompanyRepository>();
    services.AddScoped<ICarCompanyService, CarCompanyService>();
    services.AddScoped<ICarCompanyFacade, CarCompanyFacade>();
}

The implementation follows Clean Architecture principles in an ASP.NET Core Web API application, using the Facade Pattern to encapsulate the complexity of the CarCompany CRUD activities. The presentation layer, represented by the CarCompanyController, is in charge of handling HTTP requests, whilst the application layer introduces the ICarCompanyFacade interface and its implementation, CarCompanyFacade, which is in charge of orchestrating interactions with the underlying services. The CarCompany object is defined in the domain layer, containing the fundamental business logic, while the infrastructure layer handles data access via the CarCompanyRepository and database context. The Startup.cs file uses dependency injection to connect the various components. This structured method improves maintainability, scalability, and testability, allowing for simple system extension and modification in accordance with Clean Architecture principles. As a starting point, and further improvements can be developed based on unique project requirements.