I just recently installed the LED Tesla T puddle lights as well on the front driver/passenger doors only. I've also noticed the high pitch noise. I emailed Abstract Ocean and they referred me to the FAQ section:
Q: The puddle lights are making a high-pitch noise when plugged into my Model 3
A: Although we can't completely explain why, the solid-state fuses in the Model 3 are causing this issue, and normally reset after the car goes through a sleep cycle. Sometimes it can take a couple of cycles for the circuit to 'settle' with the new bulbs, but once it does, the whine should go away. The car normally sleeps after 4-6 hours of inactivity, so typically overnight. During this time the solid-state fuses go through a soft-reset, and that normally stabilizes the circuit, after which there won't be any further issues.
I will have the lights settle in for a few more days and see if the noise goes away.
As for the front puddle lights turning off, they automatically turn off after 1 minute.