Keyboard-Shortcut to Open Safari Web Extension Popup

Is it possible to open a Safari WEB Extension popup through a command or keyboard shortcut?

I have a Safari Web Extension whose popup I want to access quickly through a Command or Keyboard Shortcut. I don’t care if the configuration for this is inside or outside the extension’s code.

The main problem I have is that, since this is a Safari WEB Extension (not App), it’s more difficult to interact with Safari functionalities.

From what I could find, there’s no built-in way to do it, but a workaround could be to add an event listener in content.js and then send a message to SafariWebExtensionHandler through browser.runtime.sendNativeMessage inside background.js to open the popup. I couldn’t find anything on how to do the latter.

content.js

document.addEventListener('keydown', function(event) {
    // Check if the Control key is pressed
    if (event.ctrlKey) {
        console.log('Control key pressed!');
        browser.runtime.sendMessage("open").then((response) => {
            console.log("Received response: ", response);
        });
    }
});

background.js

browser.runtime.onMessage.addListener((request, sender, sendResponse) => {
    browser.runtime.sendNativeMessage(
      "com.owner.MyExtension",
      "open"
      )
    .then((response) => {
        sendResponse(response.echo);
    });
});

SafariWebExtensionHandler.swift

class SafariWebExtensionHandler: NSObject, NSExtensionRequestHandling {

    func beginRequest(with context: NSExtensionContext) {
        ...
        // YOUR CODE
        ...
    }    
}

What I’ve tried: