If you open login form and link on different devices, you'll get code to type, no need to send link.
So basically you start login on phone, keep page open. Open laptop, click on link on laptop and you'll get a code. You type that code on your phone and that's all.
There are a number of clipboard sync apps, but personally I swear by simply having an E2E encrypted chat app on both your desktop and phone that lets you send messages to yourself. Serves both the clipboard usecase and as a general "notes to self" space.