Bendix wont engage starter replaced.

have a Hyundai sonata limited 2015. Buy at 20,000
MI. Never an issue with my push button start until
about 80k. Sometimes would need to hit my start
button a couple times to get it to start. It always
would start eventually so never made a big deal
about it. Overtime it was taking two, three, four, up
to 10 times of pressing the push button to get it to
start. All electronics would engage and sometimes
you would hear the starter whine but not engage
the motor then the next press or maybe the next
four presses it would start up car would run fine.
Finally in October when I hit 110,000 miles in my
warranty was void the car decided to not start
anymore. Had starter battery and flywheel and
transmission replaced. Nothing was wrong with
my transmission but I was told by the mechanic
that the transmission the flywheel was attached to
had 50,000 miles on it and might as well put in the
newer transmission as it would be just as much
work as changing out just the flywheel. Left the
mechanic still having the same problem. Just
$1,500 lighter.
Fast forward 4 months to being told that the
mechanic probably didn't do the work he claimed
he did. As I was still having the same issue and
sometimes it would take up to 10 presses to get
the car to start sometimes would start on first
press. Those first press starts we're getting fewer
and farther between. Finally Friday morning car
wouldn't start and I had the starter replaced again.
Now I press the button the starter engages I hear it
whine but the Bendix I believe is not coming out
because I don't hear the engine trying to turn at all.
The first mechanic did say that he believed it was
bendix issue also. How could three starters all
have the same Bendix issue? Is there an electrical
circuit that engages the Bendix as opposed to the
starter? I've read about other people having this
issue in cold weather I live in New England so the
weather is cold here but I've had this issue in cold
and warm weather at this point. Don't have more
money to just have mechanics keep guessing and
throwing in the car and I can't even begin to think
about affording dealer rates unfortunately. I'm a
single mom with three kids who can barely make
my car payment never mind huge mechanic bills. I
know I'll have to fix whatever is wrong I just am
hoping that someone will be able to figure out
what's wrong instead of everyone keep guessing in
the dark or replacing same parts.
I want to thank everybody in advance for reading
this and taking their time to respond.