For the other bathroom, vent the lavatories. There are a couple ways to vent the two lavatories. One is to put a double fixture fitting between the two lavs. Another is to dry vent one, and wet vent the other. If you dry vent the two lavs, the vents tie together now lower than 6 inches above the flood level of the lavs.
https://wabo.memberclicks.net/assets/pdfs/Plumbing_Venting_Brochure_2018.pdf page 12 bottom is a really big wet-vent drawing. It shows a double fixture fitting venting two lavs. If that is not handy, there are other ways.
The toilet will be wet-vented, so no need for a separate toilet vent as long as you run 2 inch from the venting of the lavs.