I'm in a similar position as OP: 2-year gap due to burnout and deep depression. I couldn't do anything beyond not killing myself, I was unable to get anything new into my brain, I touched no projects, I had burned all bridges and basically all my technical and social skills atrophied during the pandemic.
I'm no liar though, I wouldn't dare to pad my CV with stuff which I haven't actually done. I wouldn't even lie in an interview, only that I don't get any interviews at all, which I assume is because of the obvious red flag of the employment gap.
Only my savings kept my afloat until today.
Also, start reading and updating your skills immediately. Then you can honestly say that during the down time you have been doing so. They aren't going to ask if you started working on keeping your skills updated from day 1 of your break.
> Tell them that you [...]
Read better!
Read less literally!
I'm also not a liar, not out of fear but out of pride. I don't want to lie. It degrades me to lie. But these people demand lies. They demand you promise you've always been the perfectly reliable workhorse they want. You must simply comply and give them what they demand.
> I don't get any interviews at all
Fear this more than lying!