Get captcha logo into bottom left?

If you use “v2 invisible” captcha then you can set to show on left. See settings page of this plugin.

If you use v3 then google currently not allow any settings to position on left. But you can hide and add your own instead. Please see https://developers.google.com/recaptcha/docs/faq#id-like-to-hide-the-recaptcha-badge-what-is-allowed