Latest update from the Massport website: a press release dated Sept. 13, 2023 -- warning of traffic delays due to upcoming construction on the Terminal C and E roadways -- says "this project is set to be completed by this November".
It's unclear from the wording of the release whether the November completion date also includes the Terminal B roadway work or if it only refers to the terminal C and E roadway work.
Either way, we seem to be getting close...