[Bug]: Sync user auth

[no-1ne]

Expected Behavior

in the demo website https://shopify-pwa.aureatelabs.com/ if we create account, login and try to checkout. I thought it supposed to automatically login on shopify side as well

Actual Behavior

but i am seeing a login button in checkout url obtained https://shopify-pwa.aureatelabs.com/

Possible Solution

may be assoiciate user access token obtained when signin to checkout with, checkoutCustomerAssociateV2 and more suggestions from @skirianov here https://discord.com/channels/770285988244750366/1092334761017614426

Steps to reproduce

in the demo website if we create account, login and try to checkout.

What version of shopify integration are you using?

from demo url

What version of Node.js are you using?

from demo url

What browser (and version) are you using?

Chrome

What operating system (and version) are you using?

Chrome OS, replicable on others

Relevant log output

from demo url

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