The sandbox API includes different chain than the production API

Sorry but I don't quite understand what you mean. Let's Encrypt does not have a "Sandbox" although it has a Staging system for test certs. Is that what you mean?

I just got a cert from Staging and Production and the chains look the same to me. Except of course that the Staging certs are not publicly trusted.

# STAGING (shortlived profile)
subject=
issuer=C=US, O=Let's Encrypt, CN=(STAGING) Artificial Amaranth YE1

subject=C=US, O=Let's Encrypt, CN=(STAGING) Artificial Amaranth YE1
issuer=C=US, O=ISRG, CN=(STAGING) Yearning Yucca Root YE

subject=C=US, O=ISRG, CN=(STAGING) Yearning Yucca Root YE
issuer=C=US, O=(STAGING) Internet Security Research Group, CN=(STAGING) Bogus Broccoli X2

subject=C=US, O=(STAGING) Internet Security Research Group, CN=(STAGING) Bogus Broccoli X2
issuer=C=US, O=(STAGING) Internet Security Research Group, CN=(STAGING) Pretend Pear X1

# PRODUCTION (shortlived profile)
subject=
issuer=C=US, O=Let's Encrypt, CN=YE1

subject=C=US, O=Let's Encrypt, CN=YE1
issuer=C=US, O=ISRG, CN=Root YE

subject=C=US, O=ISRG, CN=Root YE
issuer=C=US, O=Internet Security Research Group, CN=ISRG Root X2

subject=C=US, O=Internet Security Research Group, CN=ISRG Root X2
issuer=C=US, O=Internet Security Research Group, CN=ISRG Root X1