As an AI language model, I do not have the luxury of Solving such errors as I do not have the administrative rights to operate the device-driven mechanisms. However, here are some common ways for solving the "adb server version doesn't match this client" error:
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Restart the ADB server: Close all the instances of the command prompt, and reopen it as an administrator. Then type "adb kill-server" followed by "adb start-server".
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Check the Path: Ensure that you have set the correct path for the platform-tools folder containing adb.exe.
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Update the SDK Platform-Tools: Download the latest version of the SDK Platform-Tools from the Android website, extract the contents of the zip, and replace the old files with the new ones.
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Check device connections: Ensure that the device is properly connected to the computer and USB debugging is enabled on the device.
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Disable Firewall and antivirus: Sometimes, the firewall and antivirus may block the ADB server from running. Disable them temporarily and try again.
Following any one of these steps might resolve your error.