RAW photo's

Your camera only needs ACR 15.5  16.2 is for Photoshop, but no real reason why you can't install it into PSE 2023.

It's likely that the manual installation was not performed in the correct location.

PSE 2023 is version #21-- that is what you need to look for. 

The following is a workaround to update Camera Raw within Elements. It is recommended to wait for Camera Raw updates within the product for issue fixes. 

If you haven't been able to update the Camera Raw plug-in for Elements, follow these steps:

• Download and install the latest Camera Raw version from https://helpx.adobe.com/camera-raw/kb/camera-raw-plug-in-installer.html

• Quit all Adobe applications.

• On macOS, double-click the .dmg file to mount it.
• On Windows double-click the downloaded .zip file to unzip it. (Windows might unzip the file for you.)

• On macOS, double-click the .pkg file to start the installer. 
• On Windows, double-click the resulting .exe file to start the installer.

• Follow the on-screen instructions.

• Once installed successfully, close the installer window.

• Navigate to the following folder:
• On macOS: /Library/Application Support/Adobe/Plug-ins/CC/File Formats
• On Windows: C:\Program Files\Common Files\Adobe\Plug-Ins\CC\File Formats

• Copy the Camera Raw plug-in from the CC > File Formats folder that is mentioned in the above step.

• Navigate to the following folder: 
• On macOS: /Library/Application Support/Adobe/Plug-ins/Elements<Version Number>/File Formats
• On Windows: C:\Program Files\Common Files\Adobe\Plug-Ins\Elements<Version Number>\File Formats

• Replace the existing Camera Raw plugin in Elements<Version Number> folder with the plug-in that you copied in step 8.

Foolw these instructions and you should be good.