My research and experiences with LED strip lights are different than @Jack. I have not found any of the typical 16-32 ft LED strip lights that use 12V AC. A search for Govee compatible power supply found only 12V DC wall wart. Just check the power supply that came with your Govee LED and verify the output type. If DC, it will have the diagram with circle and pin in the middle with + and - signs
The typical outdoor 12v Transformers for outdoor landscaping are AC, not DC. You would need to validate if the transformer you are using is 12V AC or DC. You would check the voltage (AC/DC) requirements of all the various light fixtures you are planning to run off the transformer to determine the type of power required, AC or DC. Also that the total wattage is only 80% of the rating of the transformer.
If the Hampton 200w transformer is 12V AC as @Jack stated, the Govee LED (which is DC), would require an AC/DC converter/rectifier to hook the LED strip to the 12v AC wiring. Here is a link to an adapter that could be used.
Link to 12V AC/DCV adapter .
This is a diagram of how it is wired up. Diagram from Amazon AC/DC Adapter in the above link.
You would have to take care that your stripped wires and new connections are made watertight. Also, the controller/receiver for the LED may not be weatherproof.