House Armed Services Committee (HASC) Chairman Mac Thornberry’s (R-Texas) plan for cuts bridging the $5 billion shortfall between the two-year budget deal approved by the House last week and the fiscal year 2016 defense authorization bill vetoed by President Barack Obama could come as early as Tuesday morning, according to a spokesman.HASC spokesman Claude Chafin said Monday Thornberry would release his proposed cuts as soon as he’s consulted with the Senate and his panel members. Thornberry said one category he…