Citizen Sleeper

This cheevo is awarded for giving Lem and Mina your ID to board the Sidreal leaving you behind on the Eye.

DO NOT babysit Mina for Lem and keep working through the Sidreal storyline and obtain the data for Castor to obtain the ID to board the Sidreal.

On the day of the launch you will spot Lem and Mina. Keep calling to Lem until he comes to you and give him your ID film.

Short version: Build the Sidereal ship, DON'T babysit Mina, get a Sidereal ID for yourself, but give the ID to Lem & Mina at the last minute. (This is the version detailed below; you can do this this on the same playthrough as Solo Ticket)

OR

Build the Sidereal ship, babysit Mina, get Sidereal IDs for everyone, tell Lem you have IDs, but don't board the ship at the last minute. (This version is not detailed below, but is almost exactly the same to my solution for Long Journey, except at the very end choose to not board the Sidereal.)

Long version:

This is 1 of 4 endings/achievements (Solo Ticket, Left Behind, Long Journey, and Three Body) related to Lem & Mina and the Sidereal colony ship. You can't get all 4 endings/achievements in a single playthrough unless you mess with cloud saves/save files; I believe there are minimum 3 playthroughs required to get all 4 endings. Notes on this in the comments.

If doing the version below and minimizing the number of playthroughs, I recommend doing Solo Ticket first. Doing so does not autosave your game and you can continue your game right at the decision that differentiates the two endings. But if you do this before Solo Ticket, the game will put you back on the Eye and autosave your game, locking in your choice.

Go to the Shipyard and complete the Yard Hand wheel through either "Assist a Shipbuilder" or "Haul Materials". You'll then get a story bit where you're introduced to Lem & Mina. Choices here don't matter.

Go to Unit Assembly and complete the Junior Tech wheel by successfully completing "Systems Fitting" enough times, or complete the Welder's Mate wheel by successfully completing "Welder's Mate" enough times. (If you get a negative outcome 3 times, you'll fill the Quality control wheel and have to do the Shipyard portion again.) You'll get a story bit with Lem & Mina where you have to watch Mina while Lem works; again, dialogue choices don't matter. (This does not count towards "babysitting" Mina; babysitting is done specifically at their apartment.)

Lem & Mina's Unit will unlock in Lowend, with babysitting Mina being an option. DO NOT GO HERE.

Go to Sidereal Bridge and complete Interface action "Sidereal Fit-Up" enough times to fill the "Sidereal Horizon" wheel (24 sections total; positive outcomes count for 2 sections). After this is done, go through another dialogue with Lem (choices don't matter). A 3-cycle countdown "Sidereal Draw" will start on Shipyard, and a 6-cycle countdown "Moving the Horizon" will start at Sidereal Horizon. Keep yourself alive and healthy until the 3-cycle countdown finishes.

Go to the Lem & Mina icon at the bottom of the Eye to go through a story bit where - surprise - you weren't even eligible to win the tickets. Continue to wait out the 6-cycle “Moving the Horizon” countdown. After that, take the Ascender car up to the central hub, where there's a new icon for Sidereal Dock.

Warning: the next step will start an 8-cycle countdown timer; by the end of this timer, you will need to complete the section after that. Not hard, but just make sure you're not also chasing a bunch of other quests at the same time.

Repeat Intuit action "Scout the Dock" enough times to fill the 6-section "A Way On Board" wheel. After completing this step, you'll have a dialogue with Castor, who makes you an offer to get you onto the Sidereal. This starts an 8-cycle countdown; you will need to complete the section below before this timer runs out.

Go to Celis Ship at the bottom of the Eye. Repeat Engage action "Bluff Past Security" and/or Intuit action "Observe and Explore" enough times to fill the "Celis Infiltration“ wheel. Avoid negative outcomes as they will fill the negative "Celis Lockdown" wheel. After this is complete, go to Celis Servers and do critical action "Extract Celis Data". (A negative outcome still results in getting the data, but you'll lose 2 points of condition.)

Return to Castor, where you'll give him the data and he'll give you a Sidereal ID. Keep yourself alive and healthy until the aforementioned 8-cycle Sidereal Departure countdown finishes. After it does, go back up the Ascender Car to find Lem & Mina. Go through the story until you are given the option to “Call out.” or “Board.” For this achievement, choose “Call out.” Confirm your choice with “Call out again.” followed by “Call Lem down.” The rest of the dialogue choices don’t matter. After the rest of the story, the achievement should unlock.

This ending puts you back on the Eye, allowing you to continue playing and pursuing other quests and endings, except for other Sidereal endings.