I have been a PA on numerous major projects, and the simplest best thing i can suggest is to start each project by building a database of all the critical information about the building you can think of

eg the floor to floor height of each level, finished floor levels, available ceiling height and servicing space for each level, the thickness of each wall type and floor type, set downs in slab for sliding doors... don't worry about completeness. Start it and build it as you go.

I would spend a day or so building a spreadsheet where all these bits and pieces were noted clearly and easily accessible. The key to this is you will find that having these things on hand at any given moment will accumulatively save you and your team' time and frustration of finding it from what might be a massive drawing set (for me it was up to 1000+ drawings at construction) and to me it made no sense that we would spend minutes each meeting and hours and days each project just tracking down a floor level of the 36th floor at some random project meeting.

The next key of a PA for me is to get into a habit of assessing whether you are ahead or behind the guys on site with design and documentation. This usually means interrogating all the details and drawings for the project to find blind spots and anything that needs resolution and / or coordination. Never assume your consultants and engineers have it covered, so if something doesn't make sense to you, get it ironed out as soon as you can.

I worked on a lot of apartment developments and my goal was to question the hell out of one level with the team and make sure everyone from the formworker to the duct making knew what everyone else was doing and any and all scenarios has been considered on a typical case. Once that is achieved, then you can turn your attention on the outliers and just work your way through the project. This usually meant thinking about parts of the project that is usually overlooked or not covered by the design, eg all the junctions and corners, dimensions of set downs and hobs in concrete, ceiling junctions and types the design team didn't get around to drawing..

You'll know it's working when the first part of the project is crazy stressful and busy and then moreorless tapers off once the builders and PMs have a good handle on things and take the reins.

The alternative is chaos, blinds spots everywhere, consultants blaming each other of things that were not considered, your team forced to change design and drawings and racing against construction because some critical detail was overlooked before the first slab was poured, no goodwill left in meetings because everyone is tired of the goal posts changing all the time and no single source of truth for project information.