Create a new connection
I upgraded all my computers to Ubuntu 22.04 some months ago. So, the instructions here may be a bit out of sync.
Open the app Advanced Network Configuration
To do this you will need to open a Terminal first. Press Ctrl+Alt+T to open a terminal and enter:
nm-connection-editor
You will see something like this:

As you can see there is a connection called the Wired connection 1 under Ethernet. This is your default (USB) Ethernet connection. We will keep it as is for your home Ethernet.
Click on the + sign at the bottom right corner to create a new connection. Once you click on it, you will see:

The connection type should be Ethernet by default if not choose Ethernet as the connection type. Then click the Create... button.
You will see something like this:

Go to the General tab as shown above and make sure the Connect automatically with priority is set at the default 0
.
Similarly, open the settings of the other Ethernet connection (the default one used at home) and and make sure the Connect automatically with priority is set at the default 0
. OP's comments shows keeping both connection's priority at the default 0
worked best for him.
Alternate Priority Settings:
Change automatically with priority from 0
to -10
. This will try to use the default configuration first if your laptop is connected to any USB-Ethernet. If it fails to connect, then it will try to use this connection. If you want to have the this connection higher priority, you can use 10
instead of -10
. 0 is the default. Higher numbers means higher priority.
END of Alternate Priority Settings:
Change the name of the connection to something like Office Ethernet
Go to the 802.1X Security tab and fill in the blanks as needed:

Make other configuration changes as your office IT department tells you. When satisfied, click on the Save button. You will see something like:

As you can see, a new Ethernet connection called the "Office Ethernet" has been added.
Now you will see the two Ethernet connections in the drop down system menu when you are connected to the USB-Ethernet.

If the automatically connect priorities do not work for some reason, you should be able to select the correct network configuration manually depending on your location.
Hope this helps