(Combined Sources) The Massachusetts House is preparing to consider whether to dip even deeper into the state’s rainy day fund than what Gov. Charlie Baker has proposed when they debate a $46 billion state budget plan next week. The budget proposal won’t include any new broad-based taxes, according to Democratic leaders in the House. Instead it will focus on areas like supporting students during the pandemic, enhancing food security and boosting substance addiction services. The proposed spending plan also aims to increase assistance to renters, many of whom have struggled to pay rent after losing income during the pandemic, which also upended the state’s budget-making process.