absent father, emotional daughters

My 4 and 6 year olds dad is a narcissistic jerk! He doesn’t prioritise our girls, he doesn’t provide or support them in any type of way. He see’s them once every few months, for a few hours a day (the last day out was in September and he couldn’t even stay sober for the few hours he had them) and refuses to take them overnight because that gives me free time and ruins his plans for ‘drinking with the boys’ . This whole year my girls have been going through a lot of emotional stages and are very clicked on for their ages which makes the situation harder. Our 6 year old came home from school yesterday and made up a lie about her dad visiting her at the end of the school day, she saw him heading towards her class and said she ran away . We figured out it was a lie and I’ve been since trying to understand why she would feel the need to lie about something like that and understand her feelings, it’s not easy for them and definitely not easy for me to witness my girls hurting this way. My 6 year old also listens to emotional songs that connect with the way she feels and what’s going on in her life and I have no idea how to work through this. I’m just needing to vent and open to any advice or stories of similar situations. Thanks y’all Xx