If icloud keychain is set up and autofill is working the passwords are saved in keychain access ( still the passwords are encrypted ) , resetting admin password will only change it .
See the articles https://support.apple.com/en-in/HT204085
https://support.apple.com/en-in/guide/keychain-access/kyca1085/mac
The keychain application will be opened when you can login in Mac using you admin name and password , so if you have completely forgotten the admin password the only way is resetting the password there are various methods to reset see the article https://support.apple.com/en-in/HT202860
If in users and groups > login items only name and password box was checked and rest all the options were unchecked then when ever you login with Mac only name and password fields appear then " resetting admin password will be done through recovery mode only " .
The steps varies for every version of Mac , it depends you have set up secondary authentication account then you must know the six digit iCloud verification code that is required to set up iCloud Keychain and set up gmail account ( if it was used ) and in internet accounts .
If the account is set up with two factor authentication , the admin password can't be reset through recovery mode .
I never use Skype as its a third party application ( and not sure about is compatibility with Mac and avoid using third party apps ) , they can corrupt apple inbuilt applications / files .