Choose a password, then connect the mailbox you job-hunt from — emailed verification links handle themselves from there. You sign in with the password afterwards.
We ask to read mail — never to send, delete, or change anything. Only messages arriving after an application starts are looked at, and a link is opened only if it points at the employer's own domain.
The mail permission is required to sign up — leave its checkbox ticked on the consent screen, or no account is created.