[Vuejs]-All Put & Delete route method Throw 302 error in my laravel vue js project

Try spoofing your method by adding <input type="hidden" name="_method" value="PUT"> to your form.

Or you could add _method: "PUT", to your component’s form definition.

Take a look at the docs: https://laravel.com/docs/8.x/routing#form-method-spoofing