Istiaque A.

there's something called webhooks, you could use that to auto sync data to and from Hubspot with clay.

Now, there's a feature of Integrate with any HTTP API, You could practically use the http API to do push/pull to and from Hubspot with Clay on the explorer plan but you might need a technical person(Sculptor could guide you as well if you do it yourself). Might be a bit painful unless you choose pro plan.

There's 2 ways you can do it(cost included):

** attached a screenshot from Api ninja.