Unable to authenticate my account when installing Creative Cloud and Lightroom

Hello, I bought the Lightroom and Photoshop pack, after creating my Adobe account, I downloaded the file to install Creative Cloud and Lightroom. Once the application is opened, the message displayed is: "Account authentication. Enter your system password when prompted to install Lightroom on your computer. Once your password is correctly entered, we will open a browser window to authenticate your account."

I click "Continue" and I have a Lightroom installer padlock: "Lightroom Installer would like to make changes. Enter your password to authorize this operation."

That's what I do and it doesn't work. I specify that I am on macOS Monterey 12.6.6 I tried my icloud password, it does not work, my 1st Adobe password, it does not work, then I changed my Adobe password and I Tried again and it still doesn't work. Can you help me? I don't understand.

THANKS.