Point D is on side BC of △ABC. The incircle ω1 of △ABD is tangent to BC at X and to AD at Y. The incircle ω2 of △ADC is tangent to BC at Z and to AD at Y. If the radius of ω1 is 2, and the radius of ω2 is 1, find the value of XY2+YZ2 to the nearest tenth.