Meshio does not read Gmsh physical groups

You need to define the surface as a physical surface as well:

Physical Surface("Area", 10) = {1};

with this addition I get:

num_cells   : 944
num_vertices: 513
cell_type   : triangle
Calling FFC just-in-time (JIT) compiler, this may take some time.
Calling FFC just-in-time (JIT) compiler, this may take some time.
Calling FFC just-in-time (JIT) compiler, this may take some time.
Calling FFC just-in-time (JIT) compiler, this may take some time.
1.0000000000000007
Calling FFC just-in-time (JIT) compiler, this may take some time.
4.000000000000001
Calling FFC just-in-time (JIT) compiler, this may take some time.
0.9999999999999999
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