Quick terminology clarifications first...

MAC Address = Media Access Control = The hardware ID for network interface devices, formatted as 6 hexadecimal numbers or "octets". Example: 9b:87:5e:59:68:5c The first 3 octets are associated with a manufacturer, the last 3 are "unique" to your network interface.

DHCP Server = Dynamic Host Configuration Protocol = Automatically assigns IP addressing information like IP address, default gateway, and DNS server info and associates it with the MAC address. Think of this association is semi-permanent. As long as you stay connected and/or reconnect within hours or days, your MAC address will be very likely be assigned the same IP address.

Mac = Short for Macintosh

When you connected to the hotel WiFi, a DHCP server assigned an IP address and associated it with your MAC address. The hotel network essentially "remembers" that association for hours/days along with your selection of basic Internet service. You need to make your Mac appear to be a different computer by changing its MAC address.

You can temporarily change the MAC address of your WiFi or Ethernet interface, reconnect to the hotel network, and it should give you the option to select premium Internet service. Google for "Spoofing a MAC address in MacOS" for details.

Note0: Echoing other comments, I do recommend using a different browser when connecting with your new MAC address to avoid any potential browser/cookie related "memory" of your previous login.

Note1: Only fiddle with the last 3 octets in the MAC address, 59:68:5c in the above example. I would probably just change the final 5c to 6c to keep it simple.

Note2: Rebooting your Mac will set the MAC address back to the original number.

Note3: As far as the hotel network is concerned, your Mac with the new MAC address will be treated as an additional device, as if you had a 2nd laptop. This could be an issue if the hotel limits you to say 3 devices and your "2nd laptop" puts you over that limit.

Hope that helps!