What options to mirroring iPad display to Windows 10 PC that balance cost and performance? I would like to record a lecture for my maths students. I want to write it on my iPad, mirror the iPad to my PC laptop, and use OBS on my PC to combine the image of the iPad with the input of my video camera (+ my voice).
I am aware of these methods:

Make a zoom call to myself

Use LonelyScreen ( not free, works well )

Use Apowersoft

Use Itools4. ( This is via a USB cable, but unfortunately it lags)


Please comment on the value / performance of your solution. Even though my budget is currently limited, this will be of good use to everyone to cover all options so everyone can shop at their budget to get the best performance at their price point.
Are there better/alternative ways that don't have a lag?
There is a free app called LonelyScreen that will mirror an iPad or iPhone by turning your PC into an AirPlay receiver like a TV (currently a free trial)
I’m not affiliated with the developer and I actually found it by doing a Google search.  I haven’t tested it yet because I don’t have a PC and I was afraid to try boot camp until I started researching it on this site.  But I am going to go for it because this software sounds cool.
I got the instructions from https://www.howtogeek.com/247573/how-to-mirror-your-iphone-or-ipads-screen-on-your-windows-pc/