The CBO has released a new cost score of $3T added to the deficit for BBB assuming the measures are extended during the 10 yr window of scoring. As it stands, some will sunset over the course of 10 yrs which allows the Dems to use the lower cost figure.
However, the Democrats are on record saying the point of this legislation is to get it in place as a first step and get the populace hooked to the new programs. Thus, extension will be demanded when the time comes to do that.
No reason not to use the $3T cost number considering the Dems intent. Hopefully, it at least gets massively gutted, but I won't hold out much hope for that.