 Complete the following phrase:  The breakthrough at Beersheba paved the way for the opening of the Southern Palestine Offensive; after Gaza was captured, the brigade took part in the pursuit of the withdrawing Ottoman forces and the advance towards Jerusalem, during which they played a supporting role in actions at Haeira and Sheria and Mughar Ridge, as the Australian Mounted Division advanced towards Summil. For the capture of Jerusalem, the 10th Light Horse Regiment was detached to the British 5th Mounted Brigade to enter the city. A period of rest followed during the winter months, during which a defensive line was occupied before operations recommenced in February 1918. The British Empire troops pushed their line east towards the Jordan River to occupy the western part of the valley, and in late April and early May, the 3rd Light Horse Brigade took part in 