Question on tire mounting (wheelbarrow, not LBC)

Howdy all,

 

With apologies to those still in snowbound areas, it is now springtime in
Texas.  This is my first spring as a homeowner, and I'm trying to do the
yardwork.  My wheelbarrow has been sitting all winter, and the tire went
flat, and broke loose from the rim.  It's a tubeless tire, and for the life
of me I cannot get it re-inflated.  What is the magic trick to getting the
tire to reseat and take air?  I tried wrapping a rope around the tire to
compress it, but that didn't seem to work.  I figured I'd defer to the
collective wisdom of the list for hints on how to solve this problem.  Any
help is appreciated!

 

Greg