Allow multiple workers to access one Browser Rendering Session simultaneously

What is the issue or error you’re encountering

I need a method of reusing a browser rendering session an arbitrary number of times simultaneously

What steps have you taken to resolve the issue?

This is not an error but I can only use the format it gives me.

I am approximately using this example: Deploy a Browser Rendering Worker with Durable Objects | Browser Rendering docs
My goal is to allow any number of workers, which may be more than the browser API session limit of 2, to concurrently access a single browser rendering session. I attempted to create pages in the durable object and pass these back to my worker, but this fails due to the page not being serializable.

Is there any way I can have multiple workers connecting to different pages within a single browser rendering session?

export class Browser extends DurableObject {
  constructor(state, env) {
    super(state, env);
    this.state = state;
    this.env = env;
    this.keptAliveInSeconds = 0;
    this.storage = this.state.storage;
  }

  async request(){
    console.log('createPage');
        //if there's a browser session open, re-use it
        if (!this.browser || !this.browser.isConnected()) {
          console.log(`Browser DO: Starting new instance`);
          try {
            this.browser = await puppeteer.launch(this.env.MYBROWSER);
          } catch (e) {
            console.log(
              `Browser DO: Could not start browser instance. Error: ${e}`,
            );
          }
        }

        // Reset keptAlive after each call to the DO
    this.keptAliveInSeconds = 0;

    console.log('launched');
    const page = await this.browser.newPage();

    // Reset keptAlive after performing tasks to the DO.
    this.keptAliveInSeconds = 0;

    // set the first alarm to keep DO alive
    let currentAlarm = await this.storage.getAlarm();
    if (currentAlarm == null) {
      console.log(`Browser DO: setting alarm`);
      const TEN_SECONDS = 10 * 1000;
      await this.storage.setAlarm(Date.now() + TEN_SECONDS);
    }

    return page; // this can't be serialized and fails
  }