Site cannot properly redirect

We found that Wix only provides _itself , and_blank for link url setting.
https://www.wix.com/code/reference/$w.LinkableMixin.html
Is there a way to provide the target of a link to _parent, or _top? We do need these two options for link settings, otherwise, it would cause the nesting issue described below.

Currently, we created a new landing pages on wix and embed the page to our own website with iFrame.
By clicking the GET STARTED button, the user will be led to another page, but in some cases they may be redirect back to the landing page since our backend qualification checking.
However, we are seeing odd nesting behavior once the user be redirect back to the landing page.

(Left hand side of the screenshot)

Is there a reason you don’t do the whole site in WIX? Adding a part of a WIX site as an iFrame is not a good idea for many reasons. You should also get rid of this problem.