As an idle thought in case people are interested in synergies, here's the options grouped by keyword/theme. In order of assumed importantce/synergy.
Magos Clad, manufacturing.
[] Assist Magos Clad to Become the New Archmagos of the Sector Forgeworld
Atraxis is leaderless, and you have a high-ranking Magos who desires the job. You can probably help them get ahead in the competition and gain valuable influence and resources from the new Archmagos.
[] Cooperate with Partners to Mass-Produce Advanced Imperial-Tech Weaponry
Protofabricators can produce almost anything in vast quantities, much faster and cheaper than conventional manufacturing. Develop the proper templates and work with allies to sort out political and economic interests, enabling the mass production of advanced equipment like Carapace Armor, hell-, plasma-, melta-guns, and Astartes equipment.
[] Retrieve a Semi-Complete Knight STC from Absalom's Memories and Begin Mass Production
Luna, your QAI, after learning of the echoes living in the Throne Mechanicum of the Knight Engines, wishes to make contact to see if she can recover any useful information. Under the guise of being your ACU's machine spirit, facilitate this interaction and manage to recover a mostly complete STC for a Knight Engine, cooperate with Magos Clad and put it back into production.
[] Use UEF Antigrav Spacelift to Construct Voidship Maintenance Yards and Space Infrastructure
Mechanicus techpriests can provide blueprints for structural components, and Laurent's tech support can send you templates. Use protofabricators to create the basic structural components, and lift them into space with UEF cargo haulers for assembly. Your Imperial allies handle the rest with UEF provided space suits.
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Ecclasiarchy
[] Train and Build Up the Order of the Stoic Heart as a Proper UEF-Compatible Force
Just using UEF power armor is a small fraction of what's possible to augment the Order of the Stoic Heart's capacities. UEF tactics, command structure, support vehicles, doctrine, and much more can truly turn them into a force of zealous battle nuns a million strong, ready for a new age of warfare.
[] Expand the Gate Network to More Planets in the Pandora Sector
The true power of quantum gates only reveals itself once it actually forms a network. Use your contacts in the Ecclesiarchy to approach planetary governments willing to have a gate in their system and have Admiral Forhof deliver gates from Epstost Major via Warp travel.
[] Cooperate with Partners to Mass-Produce Advanced Imperial-Tech Weaponry
Protofabricators can produce almost anything in vast quantities, much faster and cheaper than conventional manufacturing. Develop the proper templates and work with allies to sort out political and economic interests, enabling the mass production of advanced equipment like Carapace Armor, hell-, plasma-, melta-guns, and Astartes equipment.
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Logistics, transportation
[] Expand the Gate Network to More Planets in the Pandora Sector
The true power of quantum gates only reveals itself once it actually forms a network. Use your contacts in the Ecclesiarchy to approach planetary governments willing to have a gate in their system and have Admiral Forhof deliver gates from Epstost Major via Warp travel.
[] Use UEF Antigrav Spacelift to Construct Voidship Maintenance Yards and Space Infrastructure
Mechanicus techpriests can provide blueprints for structural components, and Laurent's tech support can send you templates. Use protofabricators to create the basic structural components, and lift them into space with UEF cargo haulers for assembly. Your Imperial allies handle the rest with UEF provided space suits.
[] Train and Build Up the Order of the Stoic Heart as a Proper UEF-Compatible Force
Just using UEF power armor is a small fraction of what's possible to augment the Order of the Stoic Heart's capacities. UEF tactics, command structure, support vehicles, doctrine, and much more can truly turn them into a force of zealous battle nuns a million strong, ready for a new age of warfare.
These are the groupings that I think will play well with each other.