Forgot password and the I can not find the password-reset option does not appear

Perhaps your version of macOS is older than recent instructions shown?

Or newer than 'older version' offered in another link, at Apple support?

• If you forgot your Mac login password - Apple Support

<https://support.apple.com/kb/HT202860>

"These steps are for macOS Catalina or later. The steps for macOS Mojave or earlier 

are different. ~ If you're not sure which macOS you're using, try these steps first."

• If you can't reset your Mac login password - Apple Support

<https://support.apple.com/kb/HT212190>

This has two sections, first similar to earlier item posted here. Next

has various additional steps to try, such as macOS Recovery, & etc.