Set-Cookie header not setting a cookie with SameSite=None attribute

Question

I'm trying to make a request from a client located on the domain a.com to a server running PrestaShop on the domain b.com. My goal is to obtain a cookie containing an authentication token. Although I do receive a Set-Cookie header that contains the token and has attributes: expires=Sun, 08-Oct-2023 19:25:34 GMT; Max-Age=1728000; secure; HttpOnly; SameSite=None, the cookie is not being stored in the browser. Both domains are secured with SSL certificates.