First, check the oil level and make sure it's not too low or way over the full mark. Also smell the dipstick to make sure it doesn't smell like gas and that the oil is not thinned out from fuel dilution.
Now, take the three bolts off and remove the shroud from the top so you can actually see the engine brake to make sure it is fully disengaging when you squeeze the safety stop bail on the top handle.
I get a number of mowers in a year where people say they can't pull the rope or it's hard to pull and it's simply because either their cable has broken, the plastic holder come out of the handle, or something has stretched or bent so it is not disengaging the blade stop.
While it is possible to start most of these engines once they've been used a couple of years with the friction break against the flywheel, it makes it much harder to pull to get to that point of starting.
Yours is a little different because the XT series has a wire in the graphite shoe or whatever it is and that's what the kill switch is also but often that fails and these things will sit there with the handle released and the blade break grinding on the flywheel for 10 or 20 seconds if not longer because it's not making enough electrical connection to actually shut off the ignition.
Regardless, take that shroud off which is very simple with the 3 10 mm nuts unless of course one of the studs to try to tries to come out with a nut which happens about 15% of the time but you should be able to get the shout off.
Then remove the spark plug wire just for safety, and then squeeze the top handle or tie it somehow so it's in the start mode.
At this point make sure you can spend the flywheel easily by hand.
I had one just come in last month that said it was locked up and you couldn't pull it and it was actually the drive belt had slipped up above the pulley and was wedged into the bottom of the engine and it was darn near impossible to pull.
If this is fine, put it back together and you probably are looking at a compression release or valve adjustment issue.
I will say this is not a common problem as the XT's do not have a high rate of problems with compression release problems or valves being out of adjustment but both of those will certainly give those symptoms.