Upvote:1
Is there some flaw in this plan?
Yes. They might not give you the second visa. And, even if they give you the visa, they might not let you in.
I don't know about Turkey but some countries aren't happy about people chaining together visitor visas to spend a longer period in the country than a visa normally allows. It's safest to get a visa that allows you to stay for the time you want to stay. If no such visa exists, then you must be prepared for the possibility that you won't be able to make the visit you want.