Please do the following steps to generate another seed phrase for your account:
Visit your Wallet profile page;
Add another recovery method;
Test if it works using an anonymous/incognito browser window;
Remove your original seed recovery method from the account;
Refresh the page and add the seed recovery method again (it generates a new phrase);
Test that it works properly using an incognito window (recover your account using the new seed phrase in the anonymous tab of your browser);
Delete the additional recovery method added at Step 2 (if you wish to keep only the seed phrase method).