Helps to thinks of money in terms of 'supply' as well... the larger the supply of money, the more a good or service will cost. This bill adds .7 trillion dollars to the already flourishing supply (adding to a ~6 trillion in deficient spending glut in FY20-21 alone). Dunno what the total tally will be for FY22, but it just went up by another .7 tril.
Tangentially, its no wonder that with near limitless access to 'free' money for tuition that tuition has skyrocketed....which was obviously just the point you were making.