I can use my Java SDK Ubuntu installation when Wine need it?

Why can't Wine use my JRE installation instead of installing Windows JRE?

Linux executables are generally not compatible with Windows (they do not run in Windows). In particular the Linux versions of JRE are not compatible with Windows programs. Only Windows versions of JRE are compatible with Windows programs, so you need to install the Windows JRE in order for it to be compatible with Windows programs running in Wine.

Installation

The link to download the Java file you want is: Java Downloads for Windows. Download an Offline Java version. The installation instructions are available at the official What is the offline method for downloading and installing Java for a Windows computer? webpage.