Javascript: format text and paste as richtext

Question

I am writing a Chrome extension, and I need to be able to format a string in the clipboard using navigator.clipboard.writeText so that it can be pasted (using Ctrl+V) into a Google Doc or elsewhere as formatted text (bold, or as a hyperlink). I have:

function bolder() {
  navigator.clipboard.writeText(String("text to bold").bold()).then(function() {
    console.log('Async: Copying to clipboard was successful!');
  }, function(err) {
    console.error('Async: Could not copy text: ', err);
  });
}

chrome.action.onClicked.addListener((tab) => {
  chrome.scripting.executeScript({
    target: { tabId: tab.id },
    function: bolder
  });
});

However, when I paste the text, it just pastes as HTML formatted text: i.e. <b>text to bold</b> I get why this works this way, but I can't find a way to format things on the clipboard so they can be pasted as formatted text in Word/Google Docs the way copying/pasting text works on the Windows clipboard.