UIViewController with custom UIView (that includes a button) doesn't recognize taps

When trying to load a custom UIView (BaseHeader.swift) that contains a UIButton into a UIViewController (ViewController.swift) programmatically, the taps on the button are not recognized.

If I extract the code within the custom UIView and paste it directly into the UIViewController, all taps are recognized and working as expected. What am I missing?

At first, I thought it was a problem with not defining a frame size for the UIView after it gets instantiated. I thought that there might be no "hit box" for the button despite it being displayed as intended. After giving the view a frame I still had no luck and tried various other things after googling about for awhile.

The view loads but button taps are not recognized -- see image

ViewController.swift

import UIKit

class ViewController: UIViewController {

    override func viewDidLoad() {
        super.viewDidLoad()
        // Do any additional setup after loading the view.
        self.title = "Authentication"
    }

    override func loadView() {
        super.loadView()

        let header = BaseHeader()
        header.translatesAutoresizingMaskIntoConstraints = false
        self.view.addSubview(header)

        NSLayoutConstraint.activate([
            header.leadingAnchor.constraint(equalTo: self.view.leadingAnchor),
            header.trailingAnchor.constraint(equalTo: self.view.trailingAnchor),
            header.topAnchor.constraint(equalTo: self.view.safeAreaLayoutGuide.topAnchor, constant: -10),
        ])
    }
}

BaseHeader.swift

import UIKit

class BaseHeader: UIView {

    override init(frame: CGRect) {
        super.init(frame: frame)
        setupView()
    }

    required init?(coder: NSCoder) {
        super.init(coder: coder)
    }

    func setupView() {

        self.isUserInteractionEnabled = true

        let avenirFont = UIFont(name: "Avenir", size: 40)
        let lightAvenirTitle = avenirFont?.light

        let title = UILabel()
        title.text = "Title"
        title.font = lightAvenirTitle
        title.textColor = .black
        title.translatesAutoresizingMaskIntoConstraints = false
        self.addSubview(title)

        NSLayoutConstraint.activate([
            title.topAnchor.constraint(equalTo: self.topAnchor, constant: 20),
            title.centerXAnchor.constraint(equalTo: self.centerXAnchor)
        ])


        let profile = UIButton()
        let profileImage = UIImage(named: "person-icon")
        profile.setImage(profileImage, for: .normal)
        profile.setImage(UIImage(named: "think-icon"), for: .highlighted)
        profile.addTarget(self, action: #selector(profileTapped), for: .touchUpInside)
        profile.backgroundColor = .systemBlue
        profile.frame.size = CGSize(width: 30, height: 30)
        profile.isUserInteractionEnabled = true
        profile.translatesAutoresizingMaskIntoConstraints = false
        self.addSubview(profile)

        NSLayoutConstraint.activate([
            profile.centerYAnchor.constraint(equalTo: title.centerYAnchor),
            profile.trailingAnchor.constraint(equalTo: self.trailingAnchor, constant: -20),
        ])
    }

    @objc func profileTapped(sender: UIButton) {
        print("Tapped")
    }
}