wordpress to flutter migration

So I have a job from work. my clients have a wordpress website and a flutter app. the flutter app right now is basicly just a webview that loads the website. which is not ideal. they asked me to change the app's ui and with this architecture it's pretty much impossible. I have experience with flutter but im less familier with the wordpress ecosystem.

here is what I need to do and tell me how to do it:

1) I need the app's backend to be the same as the website. is there an api that i can use to get the app to work with the wordpress website's backend?

2a) because of time and money im not going to write a whole app now. so i thought to clone the project and have the webview of the app present the cloned version where i can change things there. best practice to clone a wordpress project? and how to connect the cloned project to the original's backend?

2b) is there a good wordpress to flutter plugin out there? if so i will do that instead of a cloned website. I need the plugin to not mess with website if thats clear…

thanks in advance 🙂