Cart does not store products when customer logs in to a different machine

So This is the scenario:

  1. I logged in with a user on a browser

  2. I added a product to my cart

  3. I logged out from that browser - the cart should be empty, but the same product stays in the cart page - when the user is logged out

  4. I log in the user in incognito browser

  5. The cart is empty for the logged in user.

notice in this image that I am logged in and cart shows 1 product

and here in another browser window with the same user, I am not getting the cart items:

Is there any way I can use the cart to attach with user instead of only browser storage.?

This is dawn theme - 12.0.0 - latest.

It is possible, but would require custom code to modify how the cart functions, someone else may be able to provide code, but it is somewhat complex, so likely will need to hire a developer to make these changes.
@biznazz101

Did you find a solution Krutarth

No, it was as the other answer said, it would require custom code to implement and not something that can be shared here. I however decided to skip this feature for now.