Did a google search of "Wein bridge oscillator" recognized the author was academic then I used an online RC calculator.
The video shows Wien Bridge design. Then roughly from calculator ( high and low pass R=160Ω, C=2nF might work for 500kHz)
Scope of sine output, the redrawn circuit, the math work shown at starting about 15:00. Good project, I believe it can be done
without reviewing a million web pages but getting started is half finishing.