Will Iraq Invade North and East Syria?

Is there a possibility that Iraq will intervene in a war between the IDF/SDF and Syria/Lebanon/Hezbollah/Iran in the northern Levant by invading NES (North and East Syria)? While an Iraqi contribution to the fighting between Syria and Israel would have a negligible effect on the course of the war could in fact an Iraqi attack against the AANES (Autonomous Administration of North and East Syria) potentially be a real nuisance. Iraq would however not stand much of a chance as the IAF (Israeli Air Force) would surely quickly destroy Iraq’s invading tank army in the desert before reaching NES. Iraq of course knows this and such intervention by Iraq is therefore highly unlikely as is any Iraqi contribution to the war in Syria whatsoever although Iraqi forces fought against Israel in 1948, 1967 and 1973. In all probability will Iraq stay out of the war entirely.